What would be the easiest way to go from Galway to London?
Where are you staying in London?
I wanted to see if any airport had time benefits from where you were staying but it will take about the same from any London airport with direct flights if you fly from Shannon. Plan an hour to an hour and 15 minutes.
If you decide to fly out of Dublin, you can get a direct flight to London City Airport which is only 30 minutes to Tower Hill.
Note that you can also now fly on Aer Lingus from Ireland West Airport Knock to Heathrow - you get there from Galway on Bus 64