To ask what would you do with too much free time?!

Write a book.

I would start with structure to you job hunt. It is going to take up a significant portion of school hours. Decide how much of your time it deserves and set a schedule. That way you can put it away and not feel guilty when you aren’t thinking about it.

I’d read, exercise and nap!

I'd do what I did in lockdown, have a project and approach it like it was a work task. So set goals and actions, have a schedule and have a routine. My project was health and fitness. But if that doesn't appeal, home improvement, learning a new skill, the worlds your oyster. Just decide on a goal you could reasonably accomplish in 2 months and that's your job. It turns what could feel like aimless drifting into time well spent.

Gardening. Grow your own veg and flowers.
Long walks with lunch at a nice cafe
Couch to 5K
Reading
Catch up on some tv that work prevented you
from following
Visit free museums/ art galleries

you can do free home workouts on youtube. exercise is really good for anxiety.

Free OU course
Get fit
Declutter / vinted
Sort out wills and power of attorney
Volunteer at the library, local museum, parkrun or junior parkrun.

When I was in a similar situation I did all the school/ nursery runs myself and then treated job hunting like a full time job. I must have walked the dog and been a bit better than usual at keeping on top of dishwasher, washing clothes but cannot remember that. I think my anxiety about job hunting wouldn’t let me really enjoy whole days off much.

Watching as in same boat. Doing some focus/research groups for the university, some are even paid. Was looking at mystery shopper work, and even medical trials. I want to work but find myself rather wrung out by my last job and can't face office politics for a while.

Am also volunteering, English Heritage and community gardening.

Meditate, run, lift weights, read, batch cook, sort the house out, find some new walks, volunteer with animals

Join the gym and get fit and strong! Great for the mind and body. I go first thing in the morning and it really sets me up for the day.

I worked at a friend's riding school while off from redundancy. Horses are a kind of time warp. You turn up at lunchtime, swearing up and down you'll only be a couple of hours. Then you make up the feeds, change their rugs, scrub out and fill the waters, tack up the ponies for lessons, detangle a few tails, glance up and it's dark. I'd be looking at volunteering somewhere.

Travel
Exercise
Volunteer
Writing
Walking
Hanging out with my cats
Sorting out my garden

I honestly don’t understand this. I have enough projects and things to learn in my queue to last multiple lifetimes.

Make some art, learn a language, study something.

Sorry for the redundancy. Maybe try to add structure to your day to create a sort of routine?

9am - get house straight after drop off, washing, flick round the hoover etc
10am - dedicate an hour to job hunting
11am - gym, walk, workout etc
12pm - lunch and tidy up after
1pm - read a book, deal with family admin, watch an episode of something you enjoy
2pm - Check job hunting emails, prep dinner, lay out uniforms for the next day etc
3pm - pick up

You could intersperse this with meeting up with any friends who may work part time to break up your week. I’d personally wouldn’t be hounding the job sites as I found when I was in your position it became all consuming and overall quite demoralising

Yes I feel the guilt if I sit and read. So I rationalize and reward...I can read for 10 minutes if I clean the downstairs loo. I've hoovered so I will have a coffee and read

You are in-between jobs so it's not like you've punched the boss in the face and told they to stick their job...you can have some me time. Doing other things to stretch your mind and keep you out of the larder/wine fridge is good

As someone who retired at 55 because of the job I was doing gave me arthritis and making it worse very quickly...I offer the following advice
Have a timetable of what you need to do and when by, procrastination is the theft of time
Still get up early as when you get back to work you will still be in the mindset
You're not hungry, you're board
Don't go to the pub every day, or even more regularly...I have seen too many people end up there earlier and earlier
Ditto drinking at home
Why not write that book you've always planned to. I'm on draft 24 and still haven't got past page one!
Charity's need people, especially if you have office or admin or better accounts experience...there are thousands of little local charities
Or maybe an outdoors volunteering, litter picking, bil is planting a Forrest every Thursday
Big spring clean and declutter
With the declutter set up an eBay business and trawl the local FB groups, charity shops and car boots for bargains
Attend and trade through proper auctions (that's on my list)
Clothes shopping for a complete new look via charity shops

Try to enjoy the time. It's happening so why not enjoy it? I took 3 months off last year and loved it. Here are some suggestions:
Join a gym & go 4 x a week
Read books
Do a udemy course to upskill yourself
Go for hikes in beautiful places nearby
See if there's a ladies social meetup group near you
Treat yourself to small things like a massage or facial or infrared sauna
Catch up on admin, house and garden jobs
Network with EVERYONE! Old work colleagues, friends, etc. ket them know you're on the job hunt. Asked them if they can connect you to anyone in your industry or let you know of any jobs at their workplace (cringe I know, but it can work really well).
Play games with your kids.
Write down what you want your next job to look like - location, job title, pay, colleagues, work relationships, level of responsibility, number of days working from home. Whatever is important to you. Use coloured pens, make it look interesting. You'd be surprised how effective it can be.
Do the free rebel finance school course on YouTube.

This time is a gift, enjoy it!

Sort my house out, do all the stupid little DIY jobs that never get done, likewise sort the garden, exercise more, batch cook, craft, draw….can you tell I’ve thought about this before??

What needs doing in your home? Refreshing white paint on woodwork?
Spring cleaning, washing curtains, re-emulsioning rooms.

I'd redecorate, declutter, tidy the garden. And lots of walking/cycling/running round the local lanes.

Basically what I did during furlough. Having spare time doesn't happen very often. I hope you get sorted soon.

It’s stressful before the job is found but once you have one it’s better. What kind of work are you looking for?
If you want to say that is

I would plan out your day as if you were working full time, on a calendar if necessary until you get into the swing of it.

So get up normal time.
Job hunt 9-12, then leave it until the next day so you're not constantly refreshing indeed etc.
12-1. Lunch, maybe read a book for 20 minutes, or do a bit of cleaning
1-2. Exercise, ideally out of the house getting some fresh air.
2-4 work on a new skill and/or do some free courses- what this would be would depend on what sort of job you're applying for - understanding of AI will be huge in most sectors, for example, but whatever is relevant to you - look on job ads and if there's some criteria you don't have experience of, look at how to at least get training on those. Can include volunteering here once or twice a week once you find something.
4-5 house chores.
Then can relax when family are home.

Maybe have 1 afternoon/day off a week to meet up with a friend who is out of work/on ML/WFH/works part time once or twice a week, or treat yourself to some window shopping or explore a new local place - we're a long time working so although your main priority is getting a job you want to enjoy yourself a little bit as well!

If you feel a bit stir crazy in the house every day work in a local cafe/free co-working space (if you live in or near a city you'll be surprised at how many places encourage/allow people to use their spaces), or even in the park/garden once it gets warmer.

Ah I know what you mean! That's a tricky one to get over. I think you just have to make yourself do it. Then you'll see that there aren't negative consequences, and feel less guilty next time