Hi Kelli,
I had the same problem.. but the bird was keeping me awake:) My husband and I were going crazy trying to deal with that stupid bird! But, we lived in a condo at the time and there was no way that we could move our bedroom or cut down the tree... so we bought a white noise machine! You can get them at Radio Shack or specialty stores like Brookstone. The first one we purchased was around $30 dollars and had several settings- rain, train, ocean, a 'static' sort of noise and (can you believe this one!?!) a BIRD setting. Good grief I have no idea who in their right mind would want to hear bird chirping while trying to sleep.. but, its there. Anyway, we got a new one this year from a specialty store that has just two settings but its a 'cleaner' noise, if that makes sense. With the noise of the machine - which is not loud - but does have a volume control- it completely blocked the noise of the bird and any other noises in the house. We've actually used one now for about 6 years- we can't give it up! It's worked out nicely because we have such different schedules- so he goes to bed early and I'm up.. usually doing dishes and cleaning up around the house.. and its blocked all of that noise. So, its takes a few nights to get used to but we LOVE it and its totally worth it.
Good luck! I'd love to hear what ends up working out for you.
Take care,
L.