What to look for when buying a home with a well?

Long version short:
What do you or should you look into before spending your life savings on a home with land and a well. In hopes it don't run dry?

Long version:
50 year old city boy looking to spend his life savings to move his family out of the Arizona desert cities and over to someplace in the eastern half of America. The family wants nature as neighbors instead of people. So it's my job to find the right state for work and homestead goals. But on the west coast, it's fairly common for wells to run dry and people praying for rain. Based on my vague memories.

What should I be looking for when looking at a home with a well? Mechanics I ain't too worried about. Being that a lot of the inspection tasks I read others perform are mainly water quality tests and mechanical tests. Like with leaks and water pressure.

Is there any research I can do myself? I just worry about us moving then running out of water. Haha it's just me my wife and daughter. They like there water.

I read to watch for water flow rate. And how agriculture land near by could contaminate well water depending on what they spray. But just worry about the whole west coast dry wells. I hear well drilling ain't no cheap bill. Being what them folks do to get to the water. Or even find water.

Any input would be a lot of help for this old city boy looking for a better lifestyle for his family. Hope I didn't type too much. Haha