Here, I'll tell you something real:
My friend ..We'll call her J, went through a lot at home, and after her father died, her mom and her then moved, her dog died... *not relavent, but still part of the story* She had her boyfriend move in, because she couldn't stand her mother, her mother was acting like the teen... J paid the bills along with P (her bf) ... Her mom lost complete responsibility for her daughter. Now, my friend just turned 17 this year, has her own place, and she's rather happy now..
IMO, you shouldn't move out until you're for sure you can do it on your own, or in your case.. with your boyfriend.. Make sure you can pay for things... It really depends on your parents too, especially if you're underage...
I don't plan on moving out any time soon, I'm a "mommy suck" as my step-father would say.. &I am. Though, she helps me a lot.. She's really amazing. Heck, she's letting my bf (who lives in the UK) move here, and shes gonna let him stay at her house, until him & i can become stable enough to support ourselves.. Or we could just pay her rent