Sounds like you are on track.
Remove the old stuff. Get a good filter on your air compressor, and blow all the old oil you can out of the evaporator. You can put some denatured alcohol down in the evap, can flush it out as well as the condensor. Let it dry out before putting back together.
Lubricate all the new orings with plenty of the Ester oil (that should be what they sent you). Put the lines back on, put the new compressor on, and discharge the system for at least 45 minutes.
If you don't have the tool. First, go buy a gauge set (about $100). Then, go to a used appliance store and buy a compressor from a normal ordinary house hold refridgerator. It has an in and out hard copper line. Have the shop, or you yourself sweat/compression fit a 134A connector on the suck side.
Get fancy if you want and wire a switch in, otherwise, just plug it in to start. Keep is upright at all times. Now, hook your $100 gauge set on to the pump and to the low pressure side of the car. Turn on the pump and open the low side valve on the gauge manifold set. You will see it pump down to a negative vacuum. It will go down to -30. You want to see it move there within about 3 minutes of plugging it all in. If it does not do that, then you have a leak in the system. Go back and tighten/check your oring seals, and connections. After you get it to pump down for 45 minutes, shut the valve off on the gauge, and unplug the pump. Watch it overnight if you can and make sure it stays at -30. If it has crept back up to 0 overnight, then you still have a leak. Keep at it until it holds.
After it holds, you are ready to pump it up. It should take about 2 to 2.5 cans. The first one will shoot in just with the vacuum in the system. Now, get a bucket and fill it with hot tap water. Drop the can in there while filling on the second can, and most if not all will go in the system.
Now, crank up the car, turn on the air, and jumper the low pressure swicth so it stays running. Watch the gauge. You want it to drop around 30-35 psi and hold there. Top off as needed.
Now you are icy cold, and you did it all yourself.