I have that body and it is a very capable body when you are just starting out. You will want to assign custom functions on your T3i and assign the Back Button Focus to the "*" key if you are going to go for Birds In Flight (BIF) shots. You will have some limitations as your body and lens are not the best. Now, don't think you can't get shots, but your ability to get keepers is limited somewhat by your body/lens choice. Your lens is not known for fast focusing, and the focusing system on the camera is somewhat limited. These are both reasons I have since upgraded.
But here is my suggestion, user AI Servo, which will allow you to continue to focus track on the bird as it tracks across your viewfinder. Definitely try to keep the center point on the bird as you track. (Center is usually the most robust on most cameras). Change the focus button to something other than the shutter button. This will allow you to user the * button to focus while not having to maintain a half press to keep it focusing with the shutter. Use Auto ISO, that camera is good to about 1600 ISO, but let it go to 3200 if needed as I would rather have a somewhat noisy image that is in focus than a poorly focuses non noisy image. Also use continuous shutter so you can take multiple shots as the bird is flying. Your shutter will only get 3 or so shots per second, but you have a better chance of getting a shot if you are not relying on just one shot.
And practice, practice, practice. BIF is not easy. I have upgrade both my camera body and my lens and still only get about a 25% keep rate.
Keep coming here and asking for help, there are a ton of great guys and gals here who have helped me tremendously on my journey to get better.
Good luck and hope to see more shots from you soon.