I currently fly in both the GA and RA worlds, although I'm a fairly recent convert to the latter. If I were in your position I'd be seeking out a school which did both types of training, ostensibly to the same standard (fewer hours in RA, of course). If you find the right school you can even use the same type of aircraft in both training streams, so any initial transition to GA is even more painless than it usually is. For example, here in WA one good school uses both RA and GA-registered Tecnams, as well as the usual line-up of C152s, C172s etc. Other places do the same thing around Jabs or similar.
Price is important and, as others have said, with a bit of intelligent planning and selection you can come out ahead by starting in RA, especially if your ultimate goal is a PPL rather than a CPL. For what it's worth, my own observation is that you need to take care in choosing an RA training organization; I observe greater variability in standards than in the GA world. If you have GA ambitions, I would certainly be looking for a school that offered both training streams.
Good luck!