I use the thin dewalt cutting wheels, either the offset or regular flat ones. They're about a 1/16" thick. They make thicker ones that are also for cutting, but they're overkill for our purposes.
The main difference between a cutting and a grinding disk is that the cutting disk is built to have the pressure coming from the edge while the grinding disks are meant to have the pressure coming from below. Even a thicker cutting disk is less than ideal for grinding, and a thin grinding disk is less than ideal for cutting. There are combos of course, and any of them will do a little of everything if you're careful.
I use the DeWalts because they're the longest lasting of what I can get easily. You can get a lot of work out of one. There are plenty of other good brands out there, and if you don't mind buying a box at a time you can get them a lot cheaper than the big box retail places sell for regardless of brand. I would avoid the Harbor Freight ones though, they don't last at all.