Someone mentioned "...be sure to hang on to the top of the housing to break the bowl loose.", which is good advice.
Mine was always too flimsily mounted until I finally decided to get serious and re-attach the housing bracket using through-bolts and large washers. It was a quick and simple solution, and now the housing stays put while I tighten the bowl.
Mounting the filter on the outside seems like a good suggestion, however. The location of my filter is under a gaucho, in a small cubby-hole adjacent to the water heater. The space is tiny, and it's almost impossible to use the filter wrench in there. I can't think of a great place to mount it outside my trailer though, but mine is one of the larger popups.