How can I transfer tab data from the Chrome App to another phone - including back and forward data?

So my nexus 6p is getting on in years, and I'd like to back up my chrome tabs onto another phone. I'm aware there's a sync function, but that: 1. Does not cover the back and forward data from each tab, and 2. Does not seem to go past a few dozen tabs - I have around 1000+ tabs open. Is there anything I can do to move or transfer the data, or should I just get to searching through each tab and copy-pasting them? Also, the phone isn't currently rooted from what I recall - I'm willing to try it but I've been told that may be counterproductive and likely wipe the data. Any help would be greatly appreciated!