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2. Yes, that could be wise. There is no CGT for you on the transfer because the transfer of an asset between spouses (or civil partners) is deemed to be a no gain/no loss transaction. In simple terms your wife will take on your base cost, i.e. probate value. "When I eventually sell the property" would not then apply, for it would be your wife selling her property. In simple terms the gain would be calculated as sales proceeds less costs of disposal less probate value. ....
Sadly I'm also a Sunday reader though only because as I’m killing time at an airport.
Mullet counsels it is “ wise…. and… simple” as above. But sadly it is possible OP and his wife may separate though that does not seem likely now.
Hence suggest OP should retain legal ownership of inherited flat and transfer only beneficial ownership by deed (prepared by qualified professional person) to meet requirements of Form 17 (many previous threads on this topic on this forum). From the OP, the circumstances appear that mother’s estate was not liable to IHT and so the open market value (OMV) of flat on was not agreed (“ascertained” in HMRC jargon- again see previous threads on this topic on this forum including one in last few days I posted on). Estimated OMV is inherently an uncertain number and is usually expressed as the mid-point of a range of values typically plus or minus 5%, sometimes 10% (especially in the current market) and selection of a number towards the high end of range can help mitigate any future liability to CGT. But in this case as mother’s death was a year ago her IHT account 205 has probably been submitted to set probate value. Were a taxable gain be expected at time of sale, the transfer back to OP of a part of beneficial ownership prior to contract would make available both spouses' annual exempt amount to capital gain.
So the procedure may not be quite so simple as suggested if OP wishes to be wiser.