At one time in history, I had 3:07 gears...... they suck!! You will LOVE the 4:10 gears. Personally, if it was me, I'd swap only one axle at a time. Start with the rear axle one weekend. Saturday to do the swap, Sunday to test drive and work any issues out (if any). Then the next weekend, do the front axle on same Saturday/Sunday schedule. I'd start BP Blasten every bolt now. Make sure you have Jackstands and that you are very very safe in the manner you support the Jeep... Having a vehicle fall on you isn't something you want to do.
If you can sweet talk a Jeep buddy into helping you, I would do so as it is always nice to have a couple extra hands.