To me you have what seems a generic southern English accent, with maybe some hints of rhoticity.
I have a friend from sirensister and her accent is the same as mine despite the fact I'm from the coastal border between Dorset and Hampshire. My accent in turn is virtually the same as a Brighton or Oxford native.
It seems the west country accent has largely died out or become very watered down in most younger people.
Try this app out it predicts where in England your accent is from. It's by a research team and contributes to their research. It goes quite deep in to your accent, it's not just a quiz.
https://play.google.com/store/apps/details?id=ch.uk_regional