Question [Q] In need of advice.

So my battery is draining at a ridiculous rate. Google services are using 34% of my battery. I'm running completely stock GS3 on verizon now with 4.3. I've been doing some research, I'm thinking I need to root to debloat and get some battery increases. I think i can do the root easily enough, but installing roms and safestrap seem a tad daunting to me. So would I be best off to root and install a rom? And would anyone be willing to help me out?
Thanks for all the hard work you all do.
16gb Samsung Galaxy s3
old-Droid x2 was rooted that was it(no roms). couldn't figure anything else out.