I would have the water tested. Might cost $30+/-.
Then you can determine what needs to be done to treat the water. (Depending on how hard your water, you may want some form of "whole house" system...hard water is tough on water heaters and appliances, bathing, clothes washing...)
Our well water is treated with a whole house system consisting of sediment filter, typical whole house "softener", charcoal filter, and a UV system (bacteria). Water for car washing bypasses the carbon filter and UV.