You're not going to understand the structural condition of the house without a full survey. You can guess whether the house is structurally sound from visiting.
Good things to look for include damp patches or cracks on the walls, whether there's a dated/dusty fuse box and boiler, missing tiles/clogged guttering, and any signs of poor central heating (e.g. portable heaters on the upper floors). Also, signs that problems have been covered up, such as a new paint job.
This house, on initial inspection, looks dated but well maintained - so probably an elderly person. This potentially means only cosmetic changes are needed, although these can turn out expensive. I'd budget £5-6k minimum for a kitchen and each bathroom, plus a decorator (£2k). You don't need to do this work all at once, provided that the house is usable in the meantime. You can also save money by doing DIY so decide, early on, whether you enjoy standing up ladders for hours and spending your weekends at Screwfix.
Be careful too because - if this is your forever home - there's a temptation to use the best materials you can afford. You'll also ideally want furniture - watching TV sat on a camp bed for six months because you spent your home improvement budget renovating a conservatory can be frustrating (speaking from experience).
Also, depending on the age of the house, even minor changes can throw up a handful of expensive problems. We're renovating a late Victorian house in London that has no structural problems, but is 'tatty' (as DH's parents described it). We've so far spent £500 on internal doors alone because, although the doors are solid, none of them fit properly when we moved in - and that's using a local carpenter and second-hand doors from a reclamation yard. If we had a proper high-end London budget, we'd be looking at £7k just on doors.
Finally, if you want to understand doing up houses, I'd recommend watching Grand Designs or Ugly House, Lovely House. Although they're often doing wacky projects, in general, the constant discovery of pricey problems and budget constraints are applicable to just about any major building or redecoration work.
Hope that helps. It's a beautiful house and doing renovation work can be an enormous sense of achievement - so don't be put off!
[I know the house is under offer, but sales fall through and the OP is obviously tempted by fixer-uppers].