Advice on the laundry as a nanny

So the family i work for has asked me to do the baby’s laundry but everytime i go to do his laundry there is the parents clothes in the washer that needs to be transferred to the dryer and their clothes are in the dryer as well. Im fine with doing the baby’s laundry but should i just suck it up and transfer their wet clothes to the dryer as well as take their clothes out of the dryer and then have to take their other load out of the dryer that i had switched so that i can put the baby’s in there? At that point i feel like im basically doing the parents laundry as well. I dont really want to be seeing their underwear and touching it etc.