Tire Advice Needed

First time posting on this forum hopefuully this is the correct area for my question. I recently acquired a 2002 Honda Rancher 2x4 350 ES. The tires are BALD. My next door neighbor happened to have 4 ATV tires that are used but are much better than the ones I have on it. The current tires/ rims are front 24x8-12 and the rears are 25x11-10.
The new tires I want to put on are front 25x8-12 and the rears are 25x10-12. I think the fronts should be just fine on the current rims, and obviously I would need to buy new 12 inch rims for the rears. If I do this, will these new tires and new rear rims work on this quad? It is going to primary be used for dragging baseball fields and maybe some light trail riding. I just don't want to go buy two new rear rims and then find out this combination won't work. Any help is greatly appreciated.