First you are not going to hurt your well pump running irrigation or a pressure washer as long as you don’t let the pump cycle on and off. Pumps are made to run continuously. It is cycling on and off that destroys them.
Second, you can’t use a garden hose for suction or it will collapse. Try 160# poly pipe in 1” or 1 ¼”.
The pump needs to be as close to the lake as possible, and a ½ HP jet pump is probably all you will need.