Current build:
https://pcpartpicker.com/list/dLMYyk

I have a GTX 970 currently. I've had it since the build I made before this one.
I'm looking to get a 2070 or 2080. Best bang for my buck. Not sure which model or what to get.
Budget would be around $500-700. I'd like a few options if possible.

3 Monitor Setup. 144hz + 2x 60hz. 27"
Games: League, and other basic stuff. I'd like to be able to run Cyberpunk well when it's released.

Thanks ahead of time

you want a 3000 series gpu.

Will the 3000 series be compatible with my psu?

Most of them should be. I just looked at about 20 of them on PCPartpicker, and they all required 2x 8pin connectors, which your power supply has.

3070 no problem
3080 might causing some problems
and the good ones have 3 8pins