I always thought the "admiral" thing was mostly (although not completely) a generational thing, used primarily by older guys, but I could certainly be wrong on that. I thought "my bride" was an older generation habit too, or a (US) midwestern thing, but again maybe it's wider than that. Although I don't use admiral myself, it's a lot milder than a lot of other spouse-terms I can think of - the old ball and chain, my old lady... ugh, those make me cringe.
On the "my wife" or my husband phrase, the problem there is if those phrases strike you wrong, what else do you use? "My spouse" sounds just wierd, like you're consciously trying to be politically correct, as if you could be married to a woman or a man or an aardvark interchangeably.
On the other hand, when we're crewing on somebody's sailboat I think it's hilarious to be introduced as rail meat, so I'm with CP and some others posters. Gotta lighten up, life is short.