There are many hotels in Birmingham City Centre, Can’t really go wrong with Travelodge, Holiday Inn though can you?! If you are coming to Brum via rail the New Street and Snowhill stations are in the City Centre, so perhaps book this…
http://www.travelodge.co.uk/hotels/503/Birmingham-Central-Bull-Ring-hotel
Otherwise here are some other links:
http://www.tripadvisor.co.uk/Hotels-g186402-zfn11442-Birmingham_West_Midlands_England-Hotels.html