It is one of the most annoying things about living in a built up area. Many years ago I went on holiday to the Norfolk Broads and when moored up in the middle of nowhere one clear night, I was amazed at what I saw.
Light pollution should be fine in Birmingham, it must be the dimmest part of the whole Country after Stoke.
If you can only see about a dozen or two stars then it's likely to be heavily polluted, which it is. Unless you get around 20+ miles from a built up area you won't see anything particularly brilliant tbh.