Between the two you listed, I'd go with the MSW. I get the sense that MSW programs tend to be more competitive, so it's maybe a more prestigious degree. But I think the background you get is different, so it could be good to look at the required courses for each program. I feel like for therapists, more of it comes down to experience and style than the specific degree. I've seen LCSWs (who would have MSWs, then have done the clinical hours of training) and PhDs. They have seemed oriented somewhat differently, but that may have as much to do with their personalities as the actual degrees.

If you're possibly considering ultimately doing a PhD, I'd look into those programs as well. I know in some disciplines, people tend to go right from undergrad to a PhD program, while in others (including the one I'm in, public health), it's more common to get a bachelor's, then a master's, then go for a PhD. So it could possibly make sense to apply to a few PhD programs now as well (if that's something you'd maybe want?) in addition to master's level programs.