I'm starting up a small business just by myself. I need to design a logo and a business card and wanted to use a few fonts to do so.

Would I be violating the terms of use: "Free for personal use and non-commercial use"?

I'm not running a graphic design business or selling any kind of designs. I'm just going to be using the fonts for my own business cards that I design myself.

Help me clear this up? thanks

Business card ... that is not personal/private, that is commercial.

Business = commercial use.

If your business is suffisently big to need business cards, it's suffisent to pay the fonts you use.