If you can make it to Seabrook, NH, some saturday, I'll kinda throw them on when nobody's looking (including a real balance). But I'm guessing the cost of driving to NH will be just about the same as paying $12 each...
I mount/dismount tubed motorcycle, trailer, and hay wagon (low speed) tires. But never balanced any of them. Sometimes I mess up the sealing edges- which is no problem with a tube, but it would ruin a tubeless.
The get them off you start by letting the air out and then if you can connected up a vacuum pump and really cave them in. Then apply some good soapy water to the bead area or really break down and buy some tire mounting lube - bubble blowing soap works good too. Anything that is really slippery just not Dawn as it removes the oils. Once you have the air out start walking around on the bead with a old pair of boots with a nice heal and you should be able to pop the bead and then just walk it around - flip it over and do the other side. Then you need some nice tire irons or flat bar stock with smooth edges to work the tire off the rim making sure you get the far side into the center of the rim so it can slip over the bead on the opposite side where you are working the tire iron.
Putting them on is a little bit different - once you get the tire on - walking on the bead with your boots and prying the last few inches over the rim with the tire iron. You bounce the tire on the ground and that gets the bead to seat on the rim a little and once it seats a little you can inflate it wil air to pop the bead. You can bounce it with the air compressor adding air at he same time. What also helps is tying a strap or rope around the center of the tread and then tighten the rope to force the beads outwards.
Hopefully I can save you the headache of changing the tires. On my '88 I went up from a 165-80-13 to a 185-80-13 and would say on average improved FE by 3-5%. The amount it will help you will probably depend on how tall the gearing is in the car from the factory. My '88 has a 4 speed with tall gearing anyway. I think it would be to your advantage to go with tires a size or two larger than the originals if you don't mind losing the power during take off. I currently have 185-75-14's on the front of it experimenting with them, but for some reason my last tank mileage plummetted to about 38.5 MPG so I am going to have to figure out what's going on with the car then see what the 14's do for it.
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No, I ended up with 215-70-15 tires, slightly taller. I got 3 for $5/each and 2 more for free, so I can do all 4 and the spare (since with these old beat-up tires I better be prepared to change them raodside).
I've since compared the tires lined up next to eachother, and next to the car...and I'm a bit worried. I need to get at least one mounted and turn the steering wheel back and forth while bouncing the car to see how close it gets.