i built a custom 30 gallon 12v electric sprayer, to pull behind tractor, riding lawn mower, and a couple times a vehicle.
i have used the sprayer to also suck out fluid from tires, and then put fluid back into the tires. 12v electrical sprayer (the pump) a cheap one can work. without a all the hoses and actual tank of a sprayer.
i do not remember the name. i want say grempco? spelling they sell a tire fluid kit, that connects to valve stem. one hose connection you pump in fluid, the other hose you use to exhaust air from tire.
the larger TLB i have, tires 4 feet plus tall. i had someone else do it. guy noted easier for tire to be left on tractor. when trying to break the bead / seal, assuming you have correct tire tools / breakers.
if you take tire off of tractor. having a second tractor with FEL helps a lot. due to just plain "WEIGHT" of tire and trying to man handle it. that is just tire itself and rim. a cherry picker / shop lift. around 150 to 300 bucks. can work as well. acts like a little mini crane that you can move around on concrete / asphalt or a sheet of plywood if it comes down to it. really helps with trying to get tire back onto tractor and aligning the bolts. takes a couple up and downs and adjust chain. but there is not a lot of grunting trying to get things aligned.
there some techniques, and using FEL of tractor, you just took tire off of. to break the bead. along with using the 3pt hitch to break tire bead.
having proper tire irons to actually get the bead of the tire over the rim, and then back on. is a huge plus. and less likely to mess something up.
dish soap (used for washing dishes) can be a nice slip n slide way of helping to lubricate bead of tire and rim edge. to get things to move.
i do not remember the name. harbor freight, grainger, maybe tractorsupply. it is a more costly setup. but geared for bead breaking of tires. bolt it to concrete if memory serves. a pipe goes up, then a disc / rim tire iron goes, and another pipe above it. so you can pry against with tire irons.
============
on the old allis chalmers CA tractor. i dismounted tire from tractor. then used shop lift / cherry picker to pick it up and toss into back of truck, and drove it some place else to get repaired. it was liquid filled.
another time. (other rear tire on the CA) pulled tire, emptied the liquid, and sent if off to get a new tire put on. (ripped out the side wall).
another time (original side of CA), dismantled and repaired it all. ya really need proper tools, and enough muscle power to get it done. it is not for the weak without proper tools.
i do not have a "bead set" tank. were once you get tire on to rim (without tube) you set the beads so you can get air into the tire and hold. as a result tend to get tubes. so i can just air the tire up and and let the beads pop into place.
====================
TIP: google search "tractor tire" and goto manufacture websites, and due a dealer lookup. and goto a 2 to 3 manufacture websites to find your local folks. call up places 2 hours a way. prices can very a lot. even with travel distance. make sure you double check on actual distance cost, labor cost, mounting / dismounting cost, filling tire cost, tubing cost. some just charge flat rate, while others nickle dime you every spot they can.
===================
warning to state it. be careful. tires can go KABOOM! and they can go SLICE when wires come out of them.