My friend and I would like to travel from London to the Cottswolds from 5/19-22. We're arriving in London on Tuesday and I'm getting started working on our Cottswolds travel. We would like to use public transportation. Our primary goal is garden touring. Any guidance on travel connections, hotels...would be appreciated. Gardens on the top of my list are Kiftsgate and Hidcote Manor, both in Chipping Campden. We have considered biking around for at least one of the days. Geography is not my strong suit and I would love a suggested reasonable itinerary. We want a leisurly pace with a maximum of 3-4 gardens per day and time for tea. Also would like recommendations of gardens and other beautiful sites for the not to miss list. Many thanks!