In reply to Tom_Ball:
It all depends what you want from a City, I think.
toad is right about one thing, he is a posh outsider without a feel for the City. The Trent doesn't divide the City, it forms the southern border and people rarely go south of it, except to watch Nottingham Forest, when the fans effectively block access to Bridgford and abuse the angry residents trying to get home.
The hippy enclave isn't Carrington, it's next door in Forest Fields, although the demographic has changed with it being mainly a muslim area, pushing out the hindus and the sikhs and the hippies. Now the Poles have moved in and they've changed the feel again. It's still the place for smoked filled political debate, although now you have to stand outside the pubs.
Residentially, most of Nottingham is to be avoided but especially St Anns, the Meadows, Browtowe, Radford, Hyson Green due to gangs and guns, unless you are a martial arts aficionado looking to hone some special skills.
If you like City life, clubs. pubs, shops think about getting right into the city centre, actually a decent place to live plus you could walk to the bouldering place (which is St Anns, not Sneinton).
If not, Carrington, Sherwood, Mapperley Park are about the best options. After that you're outside of the city, not necessarily a bad thing, although Nottingham is rated 5th slowest city in England (up from 3rd!) for driving and the 20mph limits will make it worse, although the new tram to Beeston makes that look much more attractive (and expensive).
But don't go too far out, Derby is unthinkable and the villages up the M1 to Sheffield are red neck country, where the BNP hold their rallies and gigs.