I've got a shop full of tools, air tools, welders, & do pretty much all my own work except for regearing my axles. That's a job I'm not interested in doing.
Not even many experienced automotive mechanics do ring & pinion installations. My two local 4x4 shops have 12-14 techs between them and there are only 2-3 they trust to do ring & pinion installation. So the $250-300 per axle labor is as much for the labor as it is for the tech knowing how to do it right without screwing it up. And to screw it up, which is EASY to do, means the new gears will be toast in short order. I had a very well-known tech who is very experienced & good at installing R&Ps do one of my regearing jobs & it was toast within 3 weeks. They took care of it under warranty but that is to say that even a good experienced tech can't always get it right the first time. What do you think the odds are of a beginner getting it done right? Slim to none in my opinion.
More importantly, I would not pay the $$$ to convert from 4.10 to 4.56 just for 31" tires. I would wait until/if you install 33" tires and then go to 4.88. I just don't believe there's enough need to regear from only having installed 33" tires. Unless the $$$ is absolutely no problem for you.