Pundt Park has various off-road/dirt trails for mountain bikes and a main paved trail that goes to Jesse H. Jones Park. We went a few hours after it rained hard in the AM and the dirt trails were muddy and had pools of standing water which blocked passage through the trails. There were hikers, road and trail bikers on the paved roads.
Heavy mosquitoes so apply repellent - don't stand still for too long because you will be eaten alive by those f**kers.
Paved trail is miles long so bring hydration pack (lots of water) and some trail mix.
Best bikes for the Pundt Park are hardtail mtb (overkill with fs bikes) for the dirt trails and road / hybrid bikes for the paved trails.
Abundant shade along trails which winds along a creek at most points.