I'm moving into a house that has a private water well. To be sure yours is in good condition, have it inspected by a certified contractor. And get the water tested now and on a yearly basis to be sure it's free of bacteria. If the system includes water filters in the house, they require regular maintenance.
Some systems have replaceable filters while others can be flushed out and reused.
If you don't want to maintain the filter yourself, ask the contractor who inspects your system about service-plan options he offers. One common problem with wells is waterlogging, which occurs when there isn't enough pressure in the water tank. The tank needs a certain amount of air to work properly. This air can be absorbed into the water over time, causing the pump to cycle on and off by fixtures in the house when water is drawn in an effort to maintain pressure. Excessive cycling wears out the pump motor before its time.