You don't want to go to Butler's Wharf. Literally, pretty much all 1st years live in High Holborn, Passfield, Bankside, Carr Saunders and Rosebery. Because of this these halls tend to have more of a typical student feel to them, whereas with Butler's Wharf you'll find it harder to meet people, make friends etc.
Last year I applied to Bankside, High Holborn and Rosebery and I got Rosebery. All 3 of these halls have good and bad aspects to them, although they're all good UG choices. The area around Bankside is picking up as well, also they have a very strong hall committee this year and have arranged some absolutely brilliant parties down there.
Whatever happens don't go for Nutford House- I've heard and seen some really bad stuff in that place. Also, from what I've found people in the intercollegiate halls tend to be more distanced from those at LSE- whether this is good or not is up to you.
Oh and Linda- I hope you're joking.