Hi Tyler. Happy 4th.
Didn't mean to get you worried, but it's sometimes a factor for some people. For most that are going to have a problem it begins to kick in at about 8000+ ft. If and when it comes, it comes in different ways and at varying degrees of severity. Rule #1 is just to get to a lower altitude ASAP. You should start feeling better pretty much almost immediately. Symptoms can be anything from general lethargy and nausea, shortness of breath when at rest, headache, sleeplessness, flu-like symptoms, poor judgment...all the way up to AMS and death (don't let that freak you out, just what can happen). On the route, most mountaineers believe in climbing high, sleeping low. Time is your friend, which is why you see climbers spending several months at some place like Everest base camp; going up, coming down, going higher, coming back down.....That's on the extreme end, but basic theories and practices for acclimating are the same and a lot simpler since your route never goes much past 10k if you do the entire big loop. You might feel a little bad initially, but that elevation is easy enough for almost everyone.
Mild exertion, rest up, day hike higher, return to a lower camp (the Tuolumne Meadows area is actually perfect for this), stay hydrated, move slowly, take altitude gains progressively: a couple nights at Tuolumne, another at Cathedral Lake, another up around Sunrise Lakes or near CR (what you're planning to do anyhow), you should be good for the rest of the trip. Spend a few days at higher altitudes getting your body used to the lower oxygen levels. Even if it's spending the day before your hike in Tuolumne, great, that helps, but 3 days would be better. But really, do a few simple things in whatever way you can, but start your trip up there and be better for it. If you or someone else with you starts having problems, don't be selfish or stupid (take your collective inventories without ego or regard for the group's original plan and a schedule that has to now be altered), and either stop for a bit or even be willing to pull the plug and come back down. If you're still really worried about it, hit your doctor up for some Diamox (acetazolamide) and start taking it a few days ahead of time.
And if you do want to be worried, have a look at the topo lines on your map and closely study the climb up Lewis Creek from Merced Lake to Vogelsang. Amazing area that you really should try to get to, but if you don't sleep well when you get to the top, you should probably figure something's not quite right.
But yeah, don't sweat this stuff too much. Enjoy TM. I would. And more people should be asking what Phil would do.
Would you mind emailing my GF and children about that?