Since you can only see an overhang on the opposite side of a pool, a slow circling approach is best. Never come closer than your own height, so that if you do fall, you won't fall in. Don't go near mudpots at all, unless you're on a ranger walk or have been taught the safe portions of each area explicitly, and carry a walking stick. It's very common for a new mudpot to announce its presence by swallowing a tourist's leg, and the burns you get from boiling mud are unbelievable. Balance fascination with paranoia, and you'll probably be fine.
Lodging is the difficult part.
Most campground space in the park is run by the park service directly and is first come, first served. Yes, that's AM as in morning. Stays are limited to ten days, then you have to find a new campground. But see below for three important campgrounds. All non-campground lodging is handled by TW Recreation Services, the Park concessionaire.