Are you going to buy or rent? How long could you stand getting to work and home each day?
Edgebaston, Harbourne, Kings Heath, Mosley, Hall Green, Shirley, Solihull have nice clean quiet streets with easy access to amenities, city centre transport is fine and getting to the QE won't be bad really. Getting a place on one of those streets is a different matter though.
City centre wise Brindley Place and Jewellery Quarter if you want a trendy warehouse converted flat or something like that.
Ive never really been into the wider Smethwick area so can't commen.
Avoid Qinton, Stirchley, Cotteridge, far south end of Kings Heath like Hollywood, Balsall Heath, Sparkhill, Sparkbrook, Bordsley Green, Marston Green area - basically around the airport. There are a lot of areas where you can basically see a boundary in terms of clenliness and house build quality and style.