First off, try clearing Chrome's cache and browsing data completely - like, really completely, not just some half-ass cleanup. I've seen it turn browsers that were dragging like anchors for months into normal ones. Go to settings, privacy, then delete cached files and cookies. Restart Chrome after, and you'll probably already notice a huge difference.
After that, check what's actually running in the background. You need to go into Chrome's task manager (Shift + Escape) and see which tabs are eating up the most RAM. Sometimes it's a tab with a video that keeps reloading or some shitty website with insane scripts. Personally, I had a Gmail tab that had been sitting open forever and was using a crazy amount of RAM. Soon as I closed it, boom, my browser was back to normal. Also try updating Chrome - sometimes older versions have little issues that get fixed.
If it's still a complete disaster after that, then yeah, you could try Firefox. Personally I'm not sure if you should totally ditch Chrome, but Firefox usually uses less RAM for normal usage. Anyway, before you make a drastic switch, do a deep clean first - that fixes it a lot of the time.