I used to move airplanes at the flight school. We used a JD gator with a tow bar. The flight team washed airplanes and we'd move them to the washing area.
Funniest thing I've seen with trying to move an airplane was the company contracted to move the 727 when they wanted to move it from the temp spot to a permanent pad.
They really believed the Ford commercials and show up with this F350. After doing some burnouts with the towbar attached to the 727 they ponder for awhile, pile a bunch of people in back and try again. This still doesn't work so they show up with an F-600 rollback... which procedes to do the same thing.
Eventually they brought in a twin screw sterling big truck wrecker, which did move it. 8 hours for 5 minutes of actually moving the airplane....
Bonus: the F350 did manage to move the 72 about 2 ft... off of the steel plates that were put there to prevent it from sinking into the ramp (which wasn't setup for that heavy of an a/c)... so as all this was happening the thing sank into the ramp and ended up leaving 6 big dips in the ramp.
Trivia: A 727 has a higher ground pressure than a 767.