A vector program like illustrator or coreldraw (or even photoshop, it has a pen tool). Look up a few basic tutorials on how to work with anchor points, and the rest is practice. You need to get a feel for how anchor points and angles work. It's really fun and easy once you get the hang of it. And once you know the basics, you can look up more tutorials to learn new ways of making your vectors shine
Corel is pretty easy I had the same problem as you haha. I applied for a design position, thinking it would be actual design work.. sketch, draw, digitize, etc... But turned out that I needed corel draw knowledge. So I looked up a few tutorials and found out that the program is really user friendly There are a lot of little tricks you'll pick up as you go, but in general it's easy.
Do you know anything about the magnetic laso tool in photoshop? My boss mentioned something about using that to crop, and I usually use the polygonal lasso when doing image manips. But she said it should be done with the magnetic and showed me a little and made it looks simple but when i tried it didnt go so smoothly ><