Carl, There are many things that can cause your symptoms on hydraulics. The main hydraulic pump relies on the transmission pump to provide it's oil. It is kind of complicated, but the transmission pump can provide from around 3 - 8 gallons per minute depending on engine speed. The main pump can pump around 20 gallons per minute, so you can see the main pump can easily run out of oil. Some of the oil the main pump uses gets sent right back to the filter and straight back to main pump, so it is "recycled" with out the transmission pump having to work as hard. The transmission pump also provides oil to the independent pto clutch and brake, as well as the Hi-LO shift clutches, and transmission lubrication. If the pump is worn or there are any internal leakage in the clutches or pto brake, the oil to the main pump is less than needed and the leakage gets worse when the oil warms up and thins out. Also you can have an internal leak in the high pressure circuit(steering, three point hitch, scv's, loader valve, etc) That can cause the main pump to try and provide more oil than the transmission pump can provide.
I would try and start the tractor and let it run without using any hydraulics for maybe ten or fifteen minutes. Then starting at the main pump, touch the hydraulic line and feel for any heat. If the outlet line on the right side of pump is hot, then follow the line back and see where the heat goes. It tees off at steering first and then goes to three point and scv's. feel those housings and see what is hot. That is where you have a high pressure leak. That component will need repair. On the transmission pump side, try running with the pto on and off to see if hydraulics work any better in one position or the other. Also try running the Hi-Lo in lo for a while and then Hi for a while to see if that makes any difference. If one of those components is leaking, The hydrauics get worse when you use the leaking component.
On the steering cylinder leak and coupler leak, they are pretty easy for someone with moderate mechanical ability. Looking at the parts breakdown shows the parts involved. There were several styles of cylinders used(single, dual, 2wd or 4wd), so it is hard to describe disassembly without knowing which style you have. Let us know what you find out!