Use the right solvent to clean up paint equipment. Check the paint can label. Generally use a mild detergent solution for water-based paints, mineral spirits for alkyd enamels, mineral spirits or turpentine for oil paints, alcohol for shellac, and mineral spirits for varnish. When you are reusing solvent for cleaning equipment, occasionally rub some between your fingers. When it begins to feel sticky, dispose of properly.
Let your dishes air dry; if you don’t have an automatic air-dry switch, turn off the control knob after the final rinse and prop the door open a little so the dishes will dry faster.