Hello,
I'm flying to London late September to Heathrow and my wife is flying
to Gatwick the next morning. I haven't been to London since 1989 and
don't remember anything (long story).

We're staying at the Sheraton Skyline near Heathrow (one of my
companies preferred hotels).

Questions a
1. How easy/costly is it to get from Heathrow airport area to the
touristy things like Buckingham Palace, Trafalgar Square, Big Ben,
Aquarium? What's the best mode of transportation for the least
expense?

2. Is there anywhere better to stay for ~ 125 GBP that might be a more
convenient location and comparable to the Sheraton Skyline?

Thanks