Tractor Attachments And Skid Steer Attachments For Any Tractor Or Skid Steer = has videos on majorty of all the equipment they sell. might help ya see difference between stuff.
TractorHouse.com | Used Tractors For Sale: John Deere, Case IH, New Holland, Kubota. = ag equipment. might find you something
MachineryTrader.com | Backhoes for sale, skid steers, excavators, dozers. = sister site of tractorhouse for industrial equipment.
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the whole getting deeper into the ground....
if fixing up all the ruts in lawn has taught me....
dig up / till area were ruts are. wider than rut itself is. and just a bit deeper than rut itself. and then shovel off a few inches loose dirt, compact the lower dirt, toss on a couple more inches of dirt, compact it, then toss on some more dirt, and compact it, till within a couple inches of surface for grass.
digging deep to bust stuff up. and then not going back and compacting a couple inches at a time. results in a bigger muddy mess. ((just as AGRIMAN noted)) this goes for dirt driveway to rock driveway, to dealing with culverts placed under the driveways as well. each few inches you need to compact the clay. and not just dump a bunch of dirt on 12 plus inches thick and only compact the top.
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getting the correct moisture in the dirt for compaction. you can have to much water, and you can have it to dry as well. to wet = muddy sloppy mess that makes ruts, to dry and you get a dust storm and only compact top 1 inch maybe a little more.
if it is to wet, stay off of it, you will cause more issues. clay by nature loves to slip and slide when it is wet.