Burford is a city in Cotswolds.
A number of different buses run between Burford and other local towns.
By car you can reach Burford easily Via the A40 from Oxford or Cheltenham directions. Otherwise you can come in from the direction of Stow-on-the-Wold on the A424 which is a beautiful drive.
There is a free car-park at the bottom end of town, and car-parking on the streets- but be careful- parking in some areas is limited to 2 hours, though this is clearly marked. Most of the hotels also have their own car-parking.
The town is small enough to walk everywhere. The lovely high street has many shops, pubs and tea rooms to spend a pleasant afternoon browsing.
Walk. There is a lovely walk from Burford to Little and Great Barrington. 
There are a number of good pubs in Burford with pints costing around £2.50 to £3 each.
There are a few taxi services - ask for the numbers at a pub. Bus no. 853 runs to Oxford and surrounding towns. Check the schedule as this does not run frequently - especially on Sunday.
Roads are flat and good for cycling.