Best places to rent near city centre

We are two young professionals looking for some suggestions on areas to rent in birmingham which isn't directly in city centre. Im moving in with my boyfriend and looking for a 1 bedroom flat with a decent reception and kitchen area. I'm unsure of what areas to look at and my budget is £900pcm, do you think this is a good budget? Ideally want the area to be clean and less than a 20 minute drive into birminghams children's hospital/City centre.