The English Open Palace Programme starts in Bath.
Heathrow Airport is just 100 miles east of Bath on the M4 motorway. A regular National Express coach service goes direct from the airport to Bath. Complete journey time 120 to 180 minutes.
Alternatively, a Heathrow Express train service runs between the airport and London Paddington train station where you can then pick up a direct train service to Bath Spa train station. Complete journey time is approximately 135 minutes.
Bath Spa train station is located in the centre of Bath. It is a short walk from the city’s shops and attractions and from your accommodation.
The Bath Travel Guide provides excellent information on travelling to Bath by car, bus or train.
http://visitbath.co.uk/travel-and-maps/bath-travel-guide
The English Open Palace Programme ends in London. You can travel to Heathrow by bus, coach or tube from Central London.
The Scottish Open Palace Programme starts in Edinburgh and finishes in Glasgow. Both cities are well served by international airports and other transport links.