Can't offer direct advice, sorry, but:
Whatever you do: do not jump on the chance of getting a second hand Yamaha U1 or similar without thorough investigation. There's a whole industry out there, sending semi-rotten pianos to Poland or China for new veneer, or importing newly-veneered same from Asia, and the buyer is the victim.
Other than that, our own tiny upright came extremely cheap from the local Salvation Army's second-hand shop, and I can honestly say that it has given me more joy than the Steinway and Bösendorfer grands I used to play before. Maybe an idea.
One has to keep in mind that second-hand pianos can be had for peanuts, and not all of them are bad. Look at the seller: if the piano comes from your typical "classical" family, it's probably one that has been well taken care of.
Your choice whether you want to buy in a shop and get it delivered and placed, or wish to organise the move through a specialised piano moving company.
BTW, in addition to our upright, for the money we saved we bought a digital one, and would sometimes even play together on two instruments.
Also handy for the divorce! One each! 😂 (My wife wanted the SA one; I got to keep the Roland.)