Several requests in this post.

Long story made short:
I'm looking for a hotel for my (our?) honeymoon in London. Have a max budget of about 1,500 dollars for six or seven nights. (Yeah, it's not a huge budget. Congress hasn't decided to pay me a huge salary. If you throw in the weak dollar I am a bit limited to what I can work with. We'll still make the best of it. :P) I would like to stay away from trashy places as that's just not cool.

Having never been there I don't know the good spots to try to hit/stick close to. I've seen some OK deals in the Hyde Park area. That appears to be close to some of the sights that we'd like to hit. Those include, and pretty much entirely consist of, the following : London Bridge, London Eye, Buckingham Palace and Madame Tussauds. Any pointers there would be appreciated also.

April ~6 - ~14 is our time frame. Thanks in advance.