Hi, and welcome to the world of pool ownership!!
Unfortunately, you're right on with your "puppy" analogy, but the good news is that it doesn't have to be really expensive, or time consuming, if you'll just be diligent about it. The very first thing you need to do is get a good test kit. You can get by with the $20 6-way drop kit from WalMart, but the one we recommend is the K-2006, which can be purchased through Amato Industries (their website is down but we can get you the number if you want it).
It looks like you have a pretty good idea of what you're doing with the pool so far....one question, did you fill with well water? If so, does it contain iron? I would say not to worry about TA for now, but your pH could come down just a tad more--if you can get it to 7.6 or so that's just about right. You need to keep at least 3-6 ppm of chlorine in your pool at all times. Bleach is an excellent, as well as the most efficient and cheapest way to go about this--you can tell your wife there is no problem with pouring it into the skimmer (as long as there's no trichlor tabs or any other chemical in the skimmer at the same time). I pour mine slowly into the return stream in the deep end, so the movement from the water helps to disperse the bleach. Just be careful not to splash it on your liner or clothes. If you haven't already, check out the "best guess" table in the link in my sig, and as long as you keep your chlorine in the recommended ranges, you shouldn't have any problem at all,. No reason to use a "shock product" (actually, shock is a verb, not a noun), bleach does just fine.
Welcome to the forum!!
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