How to prevent fat splashes when I fry a burger?
To make a perfect burger in the kitchen, a hot cast-iron skillet is your best friend.

To keep from making a mess, use one of these:



That's a splatter screen. It allows air to move freely, but keeps grease in the pan and off of your walls.

EDIT: In comments, Cindy Askew recommended the above plus using the cheapest available aluminum foil to protect surrounding areas from the grease and noted that the aluminum foil used in that way can continue to be useful as a disposable spoon/utensil rest. In a sense, this answer being accepted encompasses that comment as a part of this answer.