When installing the TC, hold up the 'nose' or front with one hand, applying gentle rearward pressure. Use the other hand to wiggle the TC back and forth until you feel the hub slide into the bushing, rotate a bit further until you feel the hub engage the pump gear lugs. The 'spin' should take a bit more effort when the two things are engaged as you would be running the pump.
Take a box/open wrench and a lower bell housing cover bolt and use the wrench to hold the TC from falling out. Install the bolt (washer as needed) through the box end of the wrench, with the open end towards the center, generally. When you have wrestled the unit up so it is close to the backside of the engine, remove the bolt & wrench.
I put one TC bolt/stud @ 6:00 o'clock, and have the flex plate aligned similarly. That way you know all the other studs should be lined up.
Reach in and lift the front of the TC to get the nose into the center of the crankshaft, pulling forward gently, and get the stud(s) into the flex plate holes. Don't pull too far as you could disengage the pump. The transmission should be able to slide onto the alignment studs or ferrules before you get the TC studs aligned totally, but it helps to have them close as you pull/push the transmission forward. Once you get the two planes, rear of engine AND front of bell housing, parallel, it is just up/down and rotation to make them engage. Sticking a manual transmission always seems a lot harder, FWIW.
tom