I always thought I would do nursing as a second career after I retired from LE. But when the time to retire came, an opportunity to go with another agency presented itself. So now I am in my second LE career in a fantastic position, great pay and bennies, and working with wonderful people. So I won't be changing jobs any time soon.
If you have found a job with an agency that pays good from the start, that's great. Granted, it isn't always about the money. But, after all is said and done, you still have to provide for yourself and your family. So pay is important.
The LE job is a government job. That can be good or bad. It depends on the politics where you're at. Every time a political position changes hands, be it sheriff, mayor, governor, or whatever, it will have an effect on the troops. It can go either way. The mayor of a city will appoint the police chief (most of the time) and there are usually politics involved. A new governor will come in on a promise to cut taxes, and public service is usually where they start. Sheriff's elections are often cut throat, and the new guy will come in with sweeping changes, sometimes involving personnel. For example, in the sheriff's dept where I worked for 24 years, I supported a fine candidate. But he lost the election. Within a very short time a lot of people, myself included, went from very desirable positions back to riding a beat. But it can go the other way too. The requirements for the job I have now was written around my qualifications. I was friends with the person making the decision. That can be the nature of government.
As another poster pointed out, changing jobs in LE means starting out as a new recruit, often having to go through training again from the ground up. This is true even if you stay in the same state. Nursing does have an advantage there. Just as in nursing, there are many different types of jobs within LE.
One thing I have noticed on this forum. There is a lot of dissatisfaction that you see posted in various threads. Nurses "eating" their young, difficult co-workers, nasty doctors, backstabbing, burn out, cattiness, pathetic nurses (that's an ongoing thread), it just goes on and on. Now go and read the LE forums. You don't see nearly as much dissatisfaction on those boards. I have to have to conclude that nurses aren't nearly as happy with their choice of careers as cops are. But then cops have to get along, the warrior mentality requires that you trust your fellow officers. Your life depends on it.
Law enforcement is definitely more dangerous. I have been shot at more times than I can remember, and hit once. I have had to go into burning buildings to get people and kids out. But it's been a rewarding and satisfying career. I'm still at it after nearly 30 years.