Travel update: please note that due to line works, the rail journey time between London and Bath takes an extra 30mins.
The Bath Royal Literary & Scientific Institute is located in the centre of Bath on Queen Square (just North of the Ustinov Studio)
July is peak tourist season for Bath, so it’s best to book somewhere as early as you can. There is everything from cute Bed and Breakfasts, the chain hotels, to high-end hotels. The official tourist site is the best way to find somewhere to stay: http://visitbath.co.uk/accommodation
Arriving by air
Via Bristol airport (the nearest). There are three ways to Bath. 1. Taxis are at the airport: it is 45 mins to Bath. 2. Buses to Bath: http://www.bristolairport.co.uk/getting-to-the-airport/by-airport-express-link.aspx. 3. Taxi or bus to Bristol Temple Meads rail station, then a train to Bath (c.15mins, they run every 20 mins or so).
Via Heathrow. Take the Heathrow Express to London Paddington (very frequent, journey time 15mins, tickets can be easily bought at Heathrow). Trains to Bath from London Paddington run every 30mins, journey time to Bath 1hour 30mins. NB. update: add 30 mins to travel time due to line works.