Welcome to the forum. The engine might be a 5.8 (351w) but its not a 351c. Your engine can be identified by the eighth character of the VIN or the VECI label under the hood. It should also be stamped in bold letters on the intake manifold. The 351 w or Windsor is related to the 302w, but its taller and wider. The 351c was a Cleveland and is an older engine that was dropped in the 70s. The 460 was also offered on the F250 as well.
A common problem with oil filters is that the seal from the old filter will stick to the block and the new filter will not seal. Use a Motorcraft oil filter and clean the mating surface carefully.
Regards
rikard