That's a great question and shows you're a responsible dog owner! Yes, in a well-maintained and thoughtfully designed dog park, you should absolutely find specific waste bins or stations dedicated to pet waste bags.
These specialized bins are often labeled with signs like "Pet Waste Only," "Dog Waste," or have a paw print symbol. They are crucial for several reasons. First, they encourage everyone to clean up after their pets, keeping the park clean and hygienic for all dogs and people. Second, they help contain odors and are often lined to make maintenance easier for park staff. Using them prevents regular trash cans from becoming overly smelly and unhygienic quickly.
If you don't see a designated bin, the general rule is to still always pick up after your dog using a bag and dispose of it in any available public trash can. Never leave the filled bag on the ground or hanging on a fence. Bringing your own bags is always a good idea, even if the park provides them, as dispensers can sometimes be empty. By properly disposing of waste, you contribute to a safer, more pleasant environment for everyone to enjoy.