I live 10-15 mins away from Lakeland, that is why I go to the park by me it is literally just a mile or two down the street.
The park I hear in Lakeland is very large and is owned by the county with the sheriffs office. It is named after a K9 that was killed, that I actually knew, It is called Diogi park. You should look into it.
I have one right down the road that has some agility equipment. There is one in Lakeland also that I hear is good. Not sure if that is near where you are. The one near me was a nice find as I did not know they had a dog park till me and my mom just went driving and saw it.