I use warm wash/cold rinse cycle on the gentle cycle, light on the detergent, and NO softener. You might want to check to confirm that your washer's definition of warm water isn't too hot. Mine tends to be fairly cool, but not cold. Shower-type warmth shouldn't hurt it.

NEVER put fleece in a hot drier, it will never be the same. I just pull it out of the washing machine and hang it to dry. If it is real big (like a sleeping bag liner or blanket) then drape it over some water-resistant chairs or similar so the weight of the wet itme doesn't stretch or damage it.