I like to start with the bottom bolts of the radiator and leave the top two for last
There should be three bolts on each side. (the nuts with the bolts sticking out of them above the radiator bolts are for my transmission cooler that was bolted to the radiator mounting plate (which made taking out the radiator a nightmare, I fixed this, shown in a later step)
Loosen the top two bolts and grab the radiator with one hand then remove the first top bolt (while still holding the radiator) and then remove the last bolt.
List radiator out of truck