The difference between a BMX Freestyle bike and a BMX Street/Park/Trail is that a BMX Freestyle bike isn't suppose to be used for jumps or landing tricks. The Hoop-D is probably the name of the type of mongoose you have. Street/Park/Trail bikes are used for jumps and for freestyle its mainly just for the ground. Watch heres a vid of BMX Freestyle- http://www.youtube.com/watch?v=7anDq7jK_Wg
BMX Street/Park/Trail- http://www.youtube.com/watch?v=kTcT2Ev2VHc