everend, Please spend some time studying the user interface. Start here: Basic AE
You also need to learn how to prepare artwork for video. The lines in your illustration are 1 pixel wide and that is not going to work for video. It can't be done. Your composition is also a nonstandard size:
That is also not a good idea. Video is pixels in a fixed grid, anything that moves in the frame will be resampled so thin lines are going to flicker unless they move exactly an even number of pixels per frame, and the size of the frame is critically important when you compress a video for distribution because color is sampled in blocks of at least 4 pixels. The artwork that has been prepared will never work if you want to have some nice looking animated movement.
There are a few decent tutorials out there that talk about preparing Illustrator files for use in video production (After Effects) but I have not found any that specifically talk about positioning artwork on the pixel grid or the problems you run into with thin lines. There are also a couple of really lousy tutorials that promote inefficient workflows so make sure you vet your trainers. You have to spend some time learning how to use the tools if you are going to have any real success using AE.