My mother and I will be traveling London June 6-10. We are arriving at Heathrow at 3: 30 pm on Saturday and leaving for Paris (eurostar) around noon on Wednesday. Considering our stay includes Sunday and my mother's age (70), I am trying to make 3 (or 3.5) days itinerary that includes Westminster Abbey, London Tower, British museum/library, National Gallery, London Tower, Buckingham Place, Tower Bridge, Big Ben, St Paul, etc. Tate Modern and Victoria Albert are a plus. The following is what I have in mind (yes, I am struggling with it...) and would like to have your your advice. I would really appreciate all your help and suggestion.
Also, we are staying at a hotel near London Eye and I also want to know if 7 days travel card would be a better option than Oyster card (pay as you go).
Sat: Heathrow to Westminster station by tube (single ticket), hotel check-in, purchase travel card at Waterloo, dinner, Tate modern
Sun: Buckingham change guard, Westminster abbey for service and evensong, National Gallery
Mon: British Musuem/library, St Paul, Tower Bridge
Tues: London Tower, Tower Bridge (?), Victoria Albert or shopping
Wed: check out, (shopping?), eurostar
Thank you in advance!