For a standard, and recently built, tractor, you can either resort to the multitude of quick hitch setups available, or do it the old fashioned way. The latter involves backing the tractor slowly into the implement, and aligning as nearly as you can both lifting (lower) 3ph arms, but with preference to the non-adjustable (non-telescoping) arm. If you can get that one lined up, you can crank the adjustment on the other arm to get that side finessed.
As to minor front/back (anterior/posterior or whatever) misalignments of the lower 3ph arms, you can usually get an inch or so fairly easily (if a small tractor) by just leaning on the rear tire with your shoulder, or pulling up or down on one of the cleats on a R1 or R4 tire - tractors will budge a bit without too much effort if out of gear and on level ground.
The center link is irrelevant, as all adjust readily to ANY position the receptor might be in when the lower arms are attached the implement (mine telescopes on both ends of the shaft).
As to the pto shaft, good luck. I have a medium duty Woods brush cutter with a pto shaft that must weigh 60 pounds, and it does not want to telescope onto the pto takeoff of my tractor (have to lubricate it, the coupler, and cover the pto shaft with grease to have any hope of joining them - my buddy has a light duty brush cutter, and the shaft is such a featherweight my wife could slide it on). Oh yeah, if the coupler on your implement shaft has bearings which are supposed to retract when you pull back the collar and slide on the shaft - before you exert yourself, slide the collar back and make sure the bearings retract fully - if they don't, squirt grease around them and jar them loose with a screwdriver or something - darn near got a hernia before learning that lesson when I tried to attached an old implement to my tractor.
Anyhow, flat garage floors, implements on dollies, quick hitch devices and the like are great, but most of us just back up the tractor to the implement, fume a bit (yes, I have a 5 foot crowbar and large hammer, but usually don't need them), and get it done.
As to minor front/back (anterior/posterior or whatever) misalignments of the lower 3ph arms, you can usually get an inch or so fairly easily (if a small tractor) by just leaning on the rear tire with your shoulder, or pulling up or down on one of the cleats on a R1 or R4 tire - tractors will budge a bit without too much effort if out of gear and on level ground.
The center link is irrelevant, as all adjust readily to ANY position the receptor might be in when the lower arms are attached the implement (mine telescopes on both ends of the shaft).
As to the pto shaft, good luck. I have a medium duty Woods brush cutter with a pto shaft that must weigh 60 pounds, and it does not want to telescope onto the pto takeoff of my tractor (have to lubricate it, the coupler, and cover the pto shaft with grease to have any hope of joining them - my buddy has a light duty brush cutter, and the shaft is such a featherweight my wife could slide it on). Oh yeah, if the coupler on your implement shaft has bearings which are supposed to retract when you pull back the collar and slide on the shaft - before you exert yourself, slide the collar back and make sure the bearings retract fully - if they don't, squirt grease around them and jar them loose with a screwdriver or something - darn near got a hernia before learning that lesson when I tried to attached an old implement to my tractor.
Anyhow, flat garage floors, implements on dollies, quick hitch devices and the like are great, but most of us just back up the tractor to the implement, fume a bit (yes, I have a 5 foot crowbar and large hammer, but usually don't need them), and get it done.