"I'd like to do things like animating, motion graphics, kinetic typography, movie making, and a lot more."
You can do all those things with Blender.
Blender; $0 or $10/month (Cloud Service)
http://blender.org
Blender has a complete VFX pipeline in one single software package.
Blender has tools similar to Maya (animation), 3ds Max (modifiers), ZBrush (sculpting), FumeFX (fire and smoke), RealFlow (fluids), RayFire (destruction), Mocha (planar tracking), Boujou (matchmoving), Arnold (rendering), After Effects (motion graphics), and Nuke (compositing).
All of these tools are far from perfect, but they're getting better every day.
Blender Tutorials
http://blender.org/support/tutorials
Blender is FREE with full functionality and you're allowed to use Blender in any production without having to pay for anything.
Blender Cycles Reel 2015
http://youtube.com/watch?v=wDRTjzLNK0g