I suspect a sideways move.
Your i7-4770 has 8 threads and a passmark rating of 9787 and a single thread rating of 2227.
By comparison, for example, a ryzen 2600X with 12 threads has a rating of 14338 but a similar single thread rating of 2139.
Since most games can not effectively utilize more than 4 threads the 12 treads for ryzen is not that helpful.
And, not only would you need a new motherboard, but you would need to convert to DDR4 ram.
FWIW, here is my canned approach to the cpu vs. gpu question.
You might want to run some of the experiments with YOUR games:
Some games are graphics limited like fast action shooters.
Others are cpu core speed limited like strategy, sims, and mmo.
Multiplayer tends to like many threads.
You...