I am looking to replace my current humbuckers in my Ibanez GAX 70, to something with a better sound. My playing style is mixed between classic rock, metal, alternative, and hard rock. Help is greatly appreciated.
Hate to do the usual nit-picking, but what's your amp? If it's very good (read: VERY good), you'd be able to just switch the pickups instead of a new guitar (which I suggest too, but not before an amp). If not, I suggest a new amp (not gonna make suggestions here), since your pickups won't make a difference if the amp's not one of good quality.
My amp is a Vox Pathfinder 10
Judging by the amp's price and the fact that its a 10 watt solid state, I'm guessing its a practice amp (haven't played it, so it's just a guess). This is where a new amp would come in to play, and I'll leave you to settle that elsewhere. After that (and assuming you still like the overall feel/play of your guitar) you'd go for the pickups.
I have wanted a new amp for a while so maybe I should start with that.
Yeah. If you want better tone, amp should come first. Also your guitar is a starter guitar. You might not want to spend too much money on that because you'll need a new guitar some time. (Something that feels better in your hands and has a better building quality and sound. You might not even need to upgrade your new guitar.)