Coming from far afield? Don't worry about getting your bike to the Cotswolds - hire from a local firm and save the hassle. These companies are based on or near the Cotswold Line Cycle Route.
Also see the Cotswold AONB website for hire elsewhere in the Cotswolds.
If you need repairs en route, don't worry - there are several helpful companies along the way. Many of the hire companies listed above can also help.