Don’t bother with any standard surveys.
Pay an electrician to check electrics.
Pay a engineer to check the heating system.
Pay a builder for an over-view and if a structural engineer would be worth a visit.
Consider a drain survey.
Any damp survey WILL find damp (even in a new house). Use it to knock the price and take a view on if you do the work afterwards.
Dogbone is bang on with this.
I found a collapsed drain, old wiring and condensation problems with my house after moving in. The home report found none of it and took no responsibility. Luckily it was easily sorted when I was having other work done but still cost me an extra 3k