I have witnessed quite a few flat tires lately at my home base due to the new antiskid layer on the runway in combination with less than very gentle landings. It's a controlled field so we always have some firemen attending the scene, who's main job it seems to be is to put their backs under the wings to put a little bogey-like-thingy under the flat tire. (Basically a flat metal plate with four swivel wheels on the corners.) They can then tow the aircraft to the shop, where the same backs lift the aircraft off the fire-department owned bogey, to be swapped for the shop-owned bogey. Or to put the aircraft on blocks or jacks straight away.
The wing makes a good lever by itself, particularly if you lift the outboard side.
Haven't seen how they do this with high-wing aircraft though.