OK, Much more to all of this that has been mentioned. So in no actual order.....
As far as the valve spring compressor, I tried using one like is pictured, once. The issues were when tightening it down to compress the valve spring, the end wanted to open up, making it slip off the valve spring. tighten it up with the adjustment screw, and more often than not, it wanted to cover stem keepers. was a PITA. I really liked the pneumatic spring compressor a lot more.
Before using the spring compressor, use a hard deadblow hammer on the tops of the valve stems to loosen the keepers.
A valve job is much more that just disassembling and re-assembling. The valves, matting surface of the valve seat valve seat, and very possibly the valve stems will need to be ground Just lapping in the valves will be long and tedious. And it's likely you won't ever get them to seat properly. Lapping the valves in, is more like a final fitting. You can get a dye, that you put on the valves before lapping them. After lapping, you can wipe the valve and see the pattern, if the dye is still all around the valve surface, then you have done nothing to make it fit and seal better. So this is why both valve and valve matting surface need to be ground down. The dye is a good indicator that the valve will seal, but pulling vacuum will be the best indicator. And as was mentioned, if the valve guides are worn, you won't get a good seal. If you have to have the guides replace (replaced is a loose term, and most guides are just holes drilled through the head casting, a replacement guide is when the machine shop re-rills the casting holes over sized and replaces it with a brass/bronze type bushing. The replacement guides sometimes have to be honed to get proper fitment of your valves. Getting a replacement valve guide does have other benefits. You can put a actual valve seal on it, verses the umbrella type "seal"
If your valve train is not adjustable, then since you have grind down the valve surface, and grind the valve seats, you will most likely have to grind the valve stems as well. It was also mentioned about grinding the top of the valve stem, this meaning take it to a grinder, with a fine surface, like one you'd use to sharpen a drill bit, and LIGHTLY hit just the edge of the valve stem. This will make it easier to go back into the head, and not scar up a new guide.
OK, that's all I can remember for now. Any questions, feel free to ask. many years ago, building heads in a machine shop was my job.