Cycling wise, it's south or east Bristol all the way. Easy access to Chew and on to Cheddar. Cycle paths, etc.
Bristol is an absolute cycling hotspot, several bike journos are based there or nearby, eg Bikeradar, Road.cc (IIRC); GCN is in Bath.
Can't wait to move to the area, either Bristol or Bath. But the rented market is nuts.
Incidentally, if you like 'country in the city', look at St Anne's area, down by the river.