I need a lock ring tool, a BMX freewheel removal tool, and a chain tool. I won't be using these a lot, so I don't need shop-quality stuff; on the other hand, I value good tools so I don't want to buy complete crap. Park makes what seems to be decent versions of the first two, and both cost $12 to $15 new. I know Park makes a ton of chain tools, but I don't have any idea which is best for the price.

So, that being said... any advice regarding these tools? Are there cheaper versions of the first two than Park that are worth getting? Any thoughts one which chain tool is best? Or is this all a waste of money, and I should go beg my LBS to let me borrow the tools for 30 seconds?

Just buy the cheap ones. If you really wont use them much, they probably will last as long as you need.
If you are dedicated to ss/fg riding and want to change gears fairly often, you may want to get a chainwhip
of a higher quality.

Pedro is another good company. I have a mix of Park and Pedro tools. Both are good, but don't go cheap. The shop I went to there were 3 different Park chain tools. The 40 dollar one was for frequent use, but I was advised to get the one for half that price since mine will only be used for the occasional maitenance.
Don't buy everything all at once unless you have the money, but its nice to have the tools. Also, make friends with people that have the tools you need.

The only lockring tool worth a damn in my mind is the Hozan Lockring pliers. Business Cycles carries them as well as other EAI dealers. This is the one instance where I'll say don't waste your time with the Park equivalant (which there really isn't any aside from the one-notch lever).