The general rule is: brush, soak and brush again. Always clean your denture over a bowl of water or a folded towel in case you drop it. Brush your denture before soaking them, to help remove any bits of food. Using an effervescent (fizzy) denture cleaner will help remove stubborn stains and leave your denture feeling fresher - always follow the manufacturer's instructions. Then brush the denture again, as you would your own teeth, being careful not to scrub too hard as this may cause grooves in the surface.
Terrible place. Had to go back several times because the denture they made tore up my gum. This is after I filed the rough spots off the denture myself at home. They said they could not adjust it anymore and would not make one that fit properly. Now they are even lying about that. Most of the people I talked to while waiting forever also were having problems with their painful dentures made there. Go to a quality dentist even if the cost is a little more, you will save time and pain in the long run. This place doesn't take appointments so expect to waste a day.