The current orders were introduced in October 2017 to tackle persistent problems in parks and public spaces.
But after three years the measures needed to be updated.
Consulting with residents, landowners and the Police, the Council has drawn up new proposals.
These target behaviours such as disorderly drunkenness, the use of BBQs, unauthorised entrance into parks, dog fouling, public urination and defecation and the use of drones.
Cllr Julia Neden-Watts, Chair of the Environment and Sustainability Committee, said:
“We all know how important our parks and open spaces are. These orders help to make sure they are safe places for all to enjoy.
“Most park visitors are conscientious; however, a small minority are not, and this can spoil the enjoyment for everyone else.
One PSPOs tackles excessive consumption of alcohol, public urination and defecation, and damage to land.
The other focuses on responsibilities relating to dogs, including the number of dogs that can be walked at a time by one person.
“Public Space Protection Orders act as a deterrent to anyone tempted to misbehave. Our hardworking Park Guard team have found the PSPOs invaluable over the past year in educating the small minority who flout the rules – and those who do not heed their advice can be fined,” added Cllr Neden-Watts.