Oh no, don't take 6th...That's a freeway.
Your route goes south on Kipling where the Bear Creek Trail ends. Definitely continue onto the golf road there and find the BCT continuing over the little hill (Mt. Carbon) and down into Bear Creek Lake Park. That's one of the coolest sections of bike path we've got around here.
If you like smooth gravel paths try the Highline Canal Trail which winds through the entire city. The best sections are down south. It's really cool to make a loop with S Platte, Big Dry Creek Trail and Highline, or something like that.