Regarding the coops, are they on skids? I assume you'd have to drag them vs lift them outright given the dimensions
+1 to this!
And if they're not on skids.. I'd be looking at how to jack them up and put them on skids. Just go slow and have as many support spots as possible under it and it usually goes pretty smooth. Where you end up in trouble is getting in a hurry.
Also +1 to using logs/posts as rollers but I generally find that more useful if you need to rotate the thing.. Rotating something on skids can be a challenge but jack it up a few inches, slap some rollers under it and it's easy peasy (in relative terms..) to roll it in a circle.
As to the tractor, look carefully at your use cases.. and think a bit about future use cases.. but don't get overly hung up on them. In particular think about if you want to use any ground engaging equipment (discs, plows, etc.. for field management or deer plots) which is largely limited by tractor weight. Total tractor weight also matters for things with leverage like offset flail mowers. The FEL capacity matters, within reason... I'm not sure how much the bales you're getting are, around here they vary from 600-1600lbs depending on size and the kind of feed in them. To get an accurate idea of capacity there consider the leverage (look at the "at the pin" number and the "at 24 in front of the pin" number and then consider that a pallet or a bale sticks out a lot further than 24".... but also that most of the numbers are a "full height" and the tractor can lift a lot more lower so if you don't need to lift them to high... you can squeeze a little more out). PTO HP also matters... again within reason, consider if you want to run a brush hog or flail mower, or a
chipper, or ??, and look at what kind of HP the size that would make you happy time wise would take. I made a spreadsheet and kind of enumerated what I thought was most likely, what I could "get away with" (minimal equipment size), and if there were other limitations (gate/road size, barn entrance height, etc..) that would tie in to what I wanted.. and then just kind of ranked that and weighted it against the ROI.
I also like things built heavier than I usually want to use them though because using something right at spec all the time tends to wear it a bit more. But that's always a trade of with the $'s of the thing.
I started out looking at the L4802's... almost bought a used
L4740 (which in many ways was nicer albeit older, the seller skeezed me out though), after talking turkey the kubota salesguy steered me towards an MX5200 (now Mx5400 would be the equivalent) for heavier usage.. and after pricing it all out I bought a 55hp Korean tractor with comparable specs. Whether that was wise or not time will tell... All of the kubota's were nicer tractors in most ways but I couldn't quite justify the cost delta to myself. The Grande L 60 series is also really nice.. it's a really slippery slope lol. I think my lot and usage is a bit larger and more complicated than yours though.. so a somewhat smaller tractor should suite most of your needs pretty well. I don't think the L4802 or the MX would be out of line.