My recommendation is to use the Google Maps satellite view on your computer. Type in Big Ben London. You can see how close Parliament, Big Ben, Westminster Abbey, Churchill War Rooms, Horse Guards, The Thames and the London Eye are to each other. You'll also notice from Parliament Square it is a short walk up Birdcage walk and thru St James Park to Buckingham Palace. That would be a great arrival first-time-visitor-exploration. Would help you adjust to the crowds and the hustle and bustle of London. With that said, after you've experienced the long walk from your Heathrow arrival gate to immigration, and then traveling from Heathrow into London, I suspect you will want to freshen up first before you hit the ground running. If you know the exact address of where you will be staying use the satellite view to find the closest coffe shop ( Cafe Nero, Costa, or Starbucks) or Pret a Manger ( fresh sandwiches, soups, salads, pastries). Grab a nosh then start walking. Get to know your neighborhood. Locate the closest bank ATM ( where you should get the cash for your trip), the closest tube stop ( where you should buy your Oyster Card and grab the free pocket sized tube maps to carry with you), the closest market ( for bottled water, and things you may have forgotten to pack). Discover what eating establishments are nearby. Find the local pub. London is a very walkable city. You've chosen a nice neighborhood to stay in. Get comfortable with it. If you are still amped as night time approaches take the London Walks www.walks.com Jack The Ripper tour.