I'd recommend the following to give you feels for rides in each compass direction:
1) Take the Bristol to Bath bike path out through the two tunnels then loop back through Radstock > Chew Valley
2) North out into the relative flat lanes around Yate and Wootton under Edge, back down the Severn through Hill / Rockhampton
3) Mendip loop going up Burrington Coomb and Cheddar Gorge
4) Over the bridge into Wales for some Forest of Dean gravel
Happy to share detailed routes if any of that is of interest.