Designing a font is made easy with Birdfont; in fact you can do it in a matter of hours. The only limit is your imagination.
The program's interface is a little clumsy at first, but you'll quickly get used to it. If not, there are various tutorials on the official website that will help you understand the basic tools.
One of the most interesting tools in this program allows you to insert a background image and create your font from there, meaning that you can trace other fonts, or create fonts based off of different shapes.
Just add the image, crop it, and scale it so it fits on the screen. Then you can add vector points and hide the background image with a button.
You can also import vector images created with Illustrator or any other vector design program.
So, if you want to try creating your own typography, Birdfont is a free tool with everything you need to get started.