I reckon its doable, just have to shop around.
My house sounded like yours when I moved in, aqua coloured suite, very dated/falling apart kitchen.
My kitchen units were second hand (ikea) they were £200(!!!) for 16 units. I paid a guy to come and measure everything, order additional end panels, work top and accessories ,sourced my own flooring and tiles and the whole lots cost £2.5K in the end fitted with appliances. It still absolutely fine 5 years on although i think ill be vinyl wrapping it for a colour change.
Bathroom ripped out, everything sourced by me, decent suite was 3.5K all in. Took all the tiles off ourselves beforehand.
I had what I needed skimmed and boarded and the rest my DF lined and painted. Probably spent £1K on skimming/boarding. Hired a sander for a week and sanded floorboards, spend about £500 on carpets for 2 rooms. The lining paper has been painted a few times since and looks as good as it did 4 years ago.
Other stuff to take into consideration would be any electrical work. Weve spent about £800 on electricians to do some rewiring in the kitchen and bathroom.
Dont get me wrong my house is not a show home but its great for the amount of money I have spent. Ive done stuff as ive had the money to do it with major things tackled initially. The bathroom waited 2 years before we had the money and things still need doing now, my driveway and roof have seen better days but function fine. We have since had the windows and doors done for £4k from a low interest personal loan paid off in 18momths.
I would definitely recommend a good survey and houses that have avocado bathrooms usually need basic updates on a lot of things (electrics/boiler/windows) so make sure they are in working order for the time being while you crack on with other cosmetic things.
For context I live in a 1930's 2 bed end terrace with 5 rooms total in Yorkshire