Sooo many guitars to choose from, only 1 you can get. If you can't decide a genre, then my advice would be to get a guitar that can cover many genres. That way, you can experiment with your tones and stuff and as you listen to more music and take note of the gear they use, and also as you get more knowledgeable and experienced thru playing and trying many guitars and effects, you'll be able to make a more informed choice for your 2nd guitar. As whitestrat said, chances are high that you'll be playing a different guitar in 3-5 years time, if you've the budget. So, i wouldn't recommend any particular brand or model, rather i'd say look out for guitars that have these pickup configs: HSS, HSH, even HH but with coiltap. Yeah.
As for tremolo handles (i think you actually mean the trem bar right?), the important thing isn't the bar, so to speak, but the tremolo itself. I'm not exactly sure what you're asking, so this is a shot in the dark. For me, i like using the trem to do all those extreme divebombs and whatnot, so my first choice would've been a guitar with a Floyd. Next thing to consider, which FR or FR derivative would give me the all-important tuning stability. The answer was pretty obvious: an Ibanez EDGE trem, which was the model for tuning stability at that time (2006 to be exact) HOWEVER, i am not saying that the trem should determine what guitar you get, but rather that the trem that comes with the guitar you get should be a decent one.