You're in for a treat, especially if you like hills. Mendips to the south, Cotswolds to the north, canal tow paths, and the soon to be opened two tunnels project means you'll even be able to cycle underground. You don't even need to leave the city boundary if you fancy taking on a few over 25% hills. In fact every direction out of Bath (bar one) involves a pretty big climb. You will love it.
Did I mention the hills?