For similarness to Didsbury i.e. distinct small towny feel with some nice nightlife type pubs and bars I’d say Marlow. Has then bonus of being 20 mins from Heathrow off peak if you blat down the M4 but you can take the back roads at peak time and do it in 30. Expensive though.
But for similarness to Didsbury i.e. posh suburb with easy access to Motorway and proximity to city center at the same time you need to be looking inside the M25, Chiswick, Strawberry Hill, Richmond, Twickenham, Kew etc. And again, nice places round there aren’t cheap.
For similarness Didsbury i.e. nice place to live, then list is almost endless. I’d be looking for somewhere cheap, close to the airport on a short lease and then move when I had a better idea of where I liked and where was close to my mates.
And to all the Sheffield haters, I give you The Peak District.