I'm looking into getting a new phone as well and we're looking for pretty similar things! The one I'm probably gonna get is the Alcatel OneTouch Idol 3 and it's $200 on Amazon. (part of why I like it so much lol)

My only concern is the processor, because tbh I don't know too much about phones haha. It's an octacore, which sounded really cool to begin with, but now that I'm realizing it's pretty much just one 1.5 GHz quadcore and another 1.0 GHz quadcore I'm having some doubts... I'm switching from one with a 1.3 GHz for reference.

But anyway, I'm probably still gonna get it, and it should come in a few days so if you're still looking in like 3 or 4 days, I'll let you know how it is! Pokemon is a selling point for me too so hopefully that works well on this phone :P

I run it on an Idol 3. It gets hot, but it usually runs smoothly. Occasionally gets laggy in certain menus, but it's finicky. Happens when the phone is too hot or if stuff is updating in the background. ~200$ usually.