Burr grinders are probably the most familiar type of electric coffee grinder. “Burr” isn’t a brand name, but rather the means by which the coffee is ground.
Just like a burr under a saddle, the burrs in a coffee grinder are the touch abrasive surfaces. In a conical burr grinder, they’re steel and while the grind the coffee beans well, they do it without rotating too fast.

The faster the burrs rotate the more friction and the more friction the more heat. If you’re coffee is heated as it is ground, it can affect the taste.
Disc-type burrs rotate a little faster, so it creates more of that heat, but if you’re just grinding a little bit each morning for your pot, the grind time will be pretty short and you’re probably not going to crate enough heat to ruin the flavor or aroma.

Another thing that makes a disc-type burr grinder attractive for the home is that it is usually a little cheaper than a conical.
Burr grinders can also be found in a grind and brew combo machine, like the Melitta Grind and Brew.

Once you drop the beans in, your job is basically done. You can also save some counter space. A lot of these grind and brews can be pricey, but check out the different brands and read some online coffee grinder reviews.

A combo may be cheaper than buying a grinder and a brewing machine separately. Whichever type you settle on, a burr grinder will give you a consistent grind.
All the little particles are roughly the same size, and this means a consistent flavor extraction as the water passes through, without a lot of coffee dust passing through with it.