I'll assume you're talking specifically about Operations. If you are, I'll say that I enjoy it. There's tons of stuff to learn and it can definitely be rewarding, especially financially
. Less often it can also be boring and sometimes stressful. Know that you'll be working rotating day/night shifts and some holidays and weekends depending on your schedule. It is nice getting weekdays off, though.
As already mentioned, you absolutely do not need a PhD to be a reactor operator. In fact, you don't even need a degree. But if you do end up going for at least a nuclear engineering bachelor's, it's possible to get hired as a Senior Reactor Operator (think: supervisor/manager) right out of college.
As far as health stuff goes, it's a very safe industry. Almost all of the popular conceptions about nuclear power & its safety are wrong. The insurance my company offers is decent enough and every year we get a medical checkup that includes urine, blood, eyes & hearing tests.
I really have no idea what the general future of the industry will be, but if you can find an opening for a plant that has its operating license for the next 10+ years I'd say definitely go for it.