For the past week or so I have been drinking fresh vegetable & fruit juice. I have a pretty decent juicer that takes just a minute or two to juice half an English cucumber, a small beet, 3 stalks of celery and a large apple. The juicing part is simple. The cleanup, not so much.
I have found a way to simplify it a bit. I am reusing those plastic produce bags to line the pulp catcher (yes that is the technical name :)) Make sure to fold it over the edge and the lid will hold it in place.
Many people reuse the veggie pulp in things like meatloaves or the fruit pulp in muffins, if you plan to do that, line the pulp catcher with a ziplock bag so you can close it and put in the fridge or freezer. Since I mix the both veggies & fruit, I don't save my pulp for anything.
So once I have made my juice, I simply wash all the removeable parts and toss the bag of pulp - I don't have to wash or dump the pulp catcher. It saves me a bit of hassle.