There are several pleasant routes into Bath avoiding the city
traffic:
From the west:
The Bristol and Bath Railway Path forms part of the "Sustrans"
route 4. The path is 19kms long and level nearly throughout,
offering a very pleasant path for cycling or walking between the
two cities.
http://www.sustrans.org.uk/
From the north:
You can avoid the traffic by joining the Kennet and Avon Canal
at Bathampton and then coming into the city along Great Pulteney
Street.
From the east and south:
The Colliers' Way is a 23-mile long multi-user path between
Frome and Bath via Midsomer Norton and Radstock. Join Sustrans
Route 4 at the Kennet and Avon Canal at Dundas for the final 6kms
into the city.
The Kennet and Avon Canal is also used by walkers, boaters and
anglers.
www.bathnes.gov.uk/colliersway