The brackets to the frame are usually 1/2" bolts,but its best to make sure by measuring the old ones as they do differ sometimes,depending on what bumper it has--a 3/4" wrench fits a 1/2" bolt,that might be a quicker way to measuer them...when I need to measure a bolt shank I use my drill bit case as a guide...
Most chrome bumpers use 7/16" carriage head type bolts to bolt the bumper to the brackets,they have a nickel "sheild" wrapped around the heads...I wouldn't use regular hardware store carriage bolts because they are soft,grade 2 at best,and will not be strong enough in a collision...