Try the RAH website - They won't rip you off - If you can only get seats for the upper tier, DON'T PANIC!! That happened to us last year, on the evening I went into the Box Office and managed to get a couple lower down.
Hotels - Well - generally expect it to be expensive - sorry but the Dollar is so weak against the pound.
I usually use late rooms
www.laterooms.com/en/p1301/pv1875407/Hot...amp;rt=0,0&c=100. Check out Trip Advisor for reviews of Hotels. If you want bog-standard no frills then use Travelodge, Holiday Inn Express or Premier Travel Inns.
One thing to be aware of, it'll be half term and all the kids will be off from school.
Don't believe all you hear about the Transport System, I've used LA's, New Yorks and Sydney's. London's is better (Honest!) Just avoid using the Tube during Rush Hour otherwise you will play sardines!
Best places to go - Do the London Eye, go early and go when it's clear, it can get a bit Smoggy later on in the day. For markets/bric-a-brac then it's Camden or Greenwich (you can take a boat down the Thames to Greenwich). Do the Tourist things but beware of being ripped off. I'm sure others can point you in th direction of decent pubs/clubs/nightlife.
You can do a tour around the RAH which is well worth it.
Hop you enjoy your trip over to the Smoke and that you get to go to the Best Music Venue in the World! Well that's my opinion anyway!