If you're on this site, you probably already have an idea of the benefits of moving well.
Here's what you can expect from improving your movement: Do every physical thing in your life better and with more confidence. Do them all with fewer injuries and less stiffness and pain. And do them with strength, flexibility, and control for many years to come.
This goes for whatever's important to you. If you practice a sport it might be mastering a tough skill. If you have kids it might be hoisting them onto your shoulders. If you're a clown it might be juggling those bowling balls. Whatever. It's up to you. The point is, you can make progress on anything you want.
If you want to start exploring what it looks like to improve your movement, check out this article on play. You'll find three movements that will help you build strength, flexibility, and control to make progress towards your goals. You can also check out this article on body control. Control is basically how we make strength and flexibility actually useful.