FES is unarguably much better than the original P3, whilr P3P is favored by some and considered not as good as FES by others. The main thing it has going for it is the ability to play as a girl which significantly changes many aspects of the game.

As for P4 vs P4 Golden - P4 in general is much more polished than P3 was so the additions made to Golden, while still pretty fun, are not as necessary and gameplay-refining as the changes made to P3 FES. So yeah, if you have no handhelds, go with P3 FES and vanilla P4.