Assuming wife acquired your interest and sold now her CGT liability would roughly be (125K - 10K) = 115K
35K @ 18% and 80K @ 28% ie 28,700 (quite a bit).
A move as KM and Mullet indicate should not be contemplated lightly although from a CGT perspective it is possible although HMRC are aware of people attempting to argue a flat/house is their main residence and thus CGT exempt.
There is no minimum period of occupation required but in practice on your facts I would think a 3 year horizon should be contemplated (12 months is too provocative).
As an aside, King-Maker, and just to be a clever-dick (!):
If your old home is still capable of being a residence of yours
the two year time limit only applies if de facto two properties are residences; "capability" doesn't count.