Here's a breakdown of that walk I suggested: -
- Walking along Bayswater / Hyde Park (point A to C in your map); 45 minutes.
- Walking along Oxford Streed (from Marble Arch to Oxford Circus; point C to D); about 20 minutes. As long as you don't stop in any of the stores. Here you will find Selfridge department store. HMV (mega music, computer games, DVDs). Desney store. etc. If you want, have a walk through Selfridge, you will find some odd things in there; they sell sweets and vodka that have insects and bugs in them. Apparently these are a big hit. There is also Yellow cafe in the basement, very nice for an afternoon tea
.
- Walking from Oxford Circus to Hamley that's about 10 minutes (points D to E). You could spend a good hour or two in Hamley. It depends how much of a child still in you
.
- Walking Hamley, going towards Trafalgar Square, you will pass the new Ferrari store and the National Geographic Store too. Both are worth a visit, they are within 3 minutes walk from Hamley on the same streer (Regent Street). The walk from Hamely to Trafalgar Square, you will pass Piccadilly Circus. This walk is about 45 minutes (points E to F).
- Walking from Trafalgar Square to Big Ben (points F to G to H); that's about 30 minutes. You will be stopping here (at H) for some nice shots for sure
.
- Walking from Big Ben to The London Eye, about 15 minutes; and again, you will be stopping to shoot. As a matter of fact, you will be shooting all the time
.
- London Eye, you must take a ride. The queue to buy the ticket would take about 30 minutes, and the queue to get your turn to ride, another 30 minutes. The ride itself is 30 minutes also. That's 90 minutes. But you will get some of the best bird-eye view of the whole of London. Regardless of rain, snow, sun; you will get wonderful shots from there.
- London Eye to Tate Museum to Millennium Bridge; about 30 minutes. DO NOT TAKE that route in your map! You can walk the whole distance along the river bank. It's far far far better; whatever you do, I'd suggest you just stick to the river and walk with the flowing people. So much to see. You will come across performing people in the street. The skateboard park (great graffiti) and so much more.
You may want to wander in and walk around the Tate; some sections are free to enter and you can shoot in most areas. Ask the security and they will guide you.
- Millennium Bridge, this is where you have to stop and shoot a bit extra! It's a very nice bridge and has some great scenes of London from here. Once you've crossed it, you will see St. Paul's cathedral.
Now from here, my suggestion is walk to Covent Gardens instead of Tower Bridge; or you could do both
. I'd do both, if your feet aren't aching by now.
- From Covent Gardens, you are 15 minutes walk back to Regent Street. So, in a way, this has taken a nice circle around the West End of London.
Alternatively, you can take the London Sight Seeing Bus Tour; these are special buses (similar to the London Bus, but not the same company). I think it's £20 for the day pass. This will take you around ALL the famous touristy locations of London, you can hop off at any location and hop back on any other of their buses and go to the next touristy location.
. A one day pass is, I think, just under £4. This will allow you to hop-on and off as many times as you want; and different buses take you to almost all the locations you need to get. Of course, the best mode of transportation in London, in my opinion, is by foot. Especially if you are nicely located 
