I am planning a trip too, i asked some friends this is what they came back with, i asked them as i am coming in at Victoria station., we are only staying a over a weekend, so packing a lot in, you have more time to take it all in, i hope this helps. I think you have a good budget, try to find lots of free things to do ,as London, can be quite expensive.
If you want to take in a show, check out
www.lastminute.com, as they have reduced price show tickets on there. It will help stretch your budget further.
Free things to do
http://www.londonfreelist.com/listings.asp?cat=muse,Museumshttp://www.londonfreelist.com/home.asp"if you don't mind splashing a bit of cash, you can pick up open top bus rides from the side of victoria station ( just ask someone, you cant miss the red booths) theres a few companies and you can barter them down as well. I bartered adults form 18 to 11 per person. they are well worth doing, and you can jump on and off at any time to see whatever you want and they take in all the sites and sights.
Otherwise if hat doesn't appeal, you are close to Hyde park ( it really is a park, I wouldn't bother for the short time you are there, unless you particularly want to see the Diana memorial)
If you come out onto Victoria st from the station and hang a right, walk straight down, theres a turn off for Buck House ( Ive not been in yet, think that was 15 pp, not sure on kids prices) but you can walk down Victoria st where you'll come to Westminster abbey, and then the houses of parliament & big ben. Carry on over the bridge, and you'll see waterloo south bank. the London aquarium is there ( sadly listed in the rip off attractions in this weeks time out) also the London eye which I really enjoyed ( hunt around for bogofs, they are around)
Otherwise a quick jump on the tube you an be in oxford circus ( shopping?) and not far from Chinatown and Soho if they appeal."
"You can get a travel card and get a bus from Vitoria, past Big Ben & over Westminster Bridge to Waterloo.
You could stop off, go down Pall Mall & Horse guards and go to Trafalagr Sq. You could also nip along Millbank and visit the Tate (the original & best ) as well."
"ok, go out the front of the station ( megabius drop u the tarin statiun side, not the antional express side . directly in front of you you will see a load of buses.... go to ( i think it is stand K) the bus stop and get on a number 11 bus heading for liverpool street it will prob say ( just not fulham broadway) buy a 1 day travel card ( tell em u only need a bus one not a train and bus one and its cheaper ( you can buy them in the newsagents just by the bus stop.
the number 11 takes you down past westminster cathedral on your right...... then new scotland yard ( left) ........ then westminster abbey ( right) then round parliament square and along past horse guards ( if you are there in time it is easier to see changing the guards at horseguards than it si t the main one. you go up past admiralty arch and onto trafalgar square..... ( good idea to get off there and bimble up to leicester square ( you just walk up past the gallery))...... or stay on the number 11 and go up towards st pauls on your left.
if you want to go to the tower, swap onto number 15 towards tower gateway (they both stop at st pauls) abd you will go down past the monument and then obviosluy the tower of london. get off the bus and turnaround and go back on the number 15 to trafalgar square, stay on this bus and it will then take you up past the national gallery and past eros and picadily circus, it then goes up to oxford circus ( where you can get off and walk down oxford street) and round to marble arch. get off the number 15 at marble arch and jump on number 73, this will take you donw to hyde park corner ( where if you have time you can always get off and eihter walk down or get a number 14 to harrods) or stay on yhe 73 past the back wall to the queens house to take you the rest of the loop back to victoria bus station."
"If you're going past Buckingham Palace and down Birdcage Walk go into the Guards' museum and Guards' shop and the Royal Military chapel (Guards' chapel). It is next to Wellington Barracks by the side of Buckingham Palace.
The Guards' chapel is where the Diana memorial service came from yesterday and is absolutely beautiful and historic inside.
Have to admit I am biased as we were married there when my husband was in the Coldstream guards.
The museum toy shop is full of good quality souvenirs and if you have little boys it's a paradise with all the soldiers lined up as in battle.
Opposite the chapel St James' park is a good place to relax and watch the many kinds of birds on the lake or have a picnic.
At the back of Buckingham Palace on the road that leads down from Victoria is the Royal Mews where all the fantastic carriages and horses are kept. That's interesting. It's only open certain days so check before you go."
I know some of this may not be relevant but lots of info here, hope you find some of it useful, there will probably be lots of folk who live in London who can point you in the direction of more off the beaten track places to go see. Hope you have a wonderful time.