Our experience doesn't quite match your situation but if it's of any help, we (English) who have lived here for 20 years, recently sold our house to an American and his German partner, living and working in Germany.
The purchase price went from the buyer's bank in Germany to my account with Currency Fair who converted most of it from euros to sterling and sent the money on immediately to my UK bank. At my request, a small-ish residue was kept in euros and sent by CF immediately to my Greek bank account. All for the grand total charge of €6 (plus another €3 charged by my Greek bank for the privilege of boosting their cash-flow for 48 hours!).
For the record, I do have a Greek tax number and file an annual tax return through my accountant, but am one of those often referred to on this forum who, being retired and having no income generated in Greece, continue to pay tax in the UK. There was no hitch at all. No tax to pay on the transaction either in the UK or in Greece. I am enjoying the new car I bought with the boost to my Greek bank account!
But as the pundits have already said, tell your lawyer and your accountant what you want to do and make sure they agree. The accountant will want a copy of the sale agreement (provided through the lawyer) in order to change your 'circumstances for the tax authorities. Hope that helps a bit. Bob.
Yesterday today was tomorrow. Don't dilly dally!