If you can last out financially, it might be worth postponing job hunting until September (or only applying for jobs where a September start would be ok). If you're concerned about holidays, that means not having to worry about the summer (bearing in mind that you might not be able to take much leave over the summer and also that some holiday clubs don't take Reception children).
My main tip for working full time (DH and I both do, in an arrangement vaguely like the one you are aiming for) is to be very organised.
The night before get everything ready. Make your DD responsible for packing her own bag and putting out her school uniform (check at first by all means!). Then the morning should just be a quick breakfast and get ready and go.
I have a repertoire of menus that take 30 minutes to prepare and cook - and do some batch cooking for the freezer.
While dinner is cooking/being prepared I chat to the DC/listen to reading/sort out post.
After dinner the DC have to tidy the lounge while DH and I stack the dishwasher/clean dining room. Basically the idea is that the place gets left pretty much tidy before DC go to bed.
With 1 DC you can then take it in turns for one of you do to bedtime and the other to sort washing/do general tidying/collapse in a heap.
Put a load of washing in before bedtime and hang out in the morning. Be ruthless about not putting stuff in the wash until it really needs it, and this will pretty much see you through the week (might need to do extra load occasionally at w/e).
We have an hour at the weekend where we clean the worst bits - also thinking about a cleaner as this just digs into family time. We strictly stick to an hour and everyone pitches in, so not so bad though.
I've always used holiday clubs and DH and I take "opposite" leave. If you/DH can work flexibly you might be able to, say, work 3 days hours in 2 and then have a day off. With holiday clubs ask about to see what DD's friends go to - though my DC have been to clubs where they know no one and had no problem fitting in. You'll find as they get older, they actually ask to go anyway!
YOu can also "child swap" with another parent i.e. you have theirchild one day while they work, then they have yours another while you work.
You and DH both need to cover sickness. WE vaguely take it in turns, with a nod to anyone has anything very important on having to prioritise it.
Finally, I don't know what sort of job you're looking for, but be aware that companies may not be as flexible as you want - especially for new employees, so it's worth thinking about a plan B.