Which one is easier to set the hook with a mh rod? Don't want to break a rod and a soon to-be yak fisherman so only can take a few rods.

I'm assuming that you're talking about frogs. You will be able to set the hook on either type of frog effectively as long as the rod is at least moderate action. You'll probably get a lot of different opinions on this. I prefer a fast action rod, but many like moderate/mod-fast. 

In real life I use a 7'3" MH-XF rod for soft plastic frogs (like a horny toad, etc.) and I rig them with Zoom single frog hooks in 4/O or 5/O.  For hollow bodied frogs (which I rarely throw anymore) I like a H-F rod slightly longer, like 7'6". 

Up until this last year I always used a medium heavy for both. I upgraded to a heavy for hollow bodies because the stuff I fish them in now is much much thicker. 

You can set the hook effectively on both lures with a MH. In much thicker stuff you will be better served with a H rod to assist you pulling the fish out of the cover.