If you just want to fix gerrymandering, the fanciest bestest way to do it is mixed member proportional, which they use in New Zealand. Here's a cartoon explaining it.

But the likely outputs of a system represent the interests of the current balance of powers (otherwise it'd already be changed). A shift to a new system with a new likely set of outputs requires a shift in power that corresponds to the change in likely outputs. Where you get that change in power must come from outside of the system.