I was in uni in Brum for four years, its changed quite a lot since I left in 2000, but I've been back a few times over the last few years for test matches.
Drinks and stuff head to Broad Street, although there are some newer good drinking/eating/shopping opportunities around the Mailbox,
Mailbox Life
Another drinking time wasting things can be done at Bridley Place too,
Brindleyplace: Home Page
The Hyatt is probably the best hotel about, but that may have changed.
Hotel in Birmingham, UK - Hyatt Regency Birmingham Hotel - Hotel Birmingham
Good restaurant is Cielo -
Cielo Birmingham - Italian / Med Cuisine Restaurant Birmingham or
Brasserie Blanc Restaurant Birmingham Raymond Blanc Best Birmingham Restaurants Brasserie Blanc