I'm taking my time on my ride. - I have not heard this one, but I would guess that it means I am not in a hurry. It could be literal and mean I am not going to hurry down the highway on the way to my destination. It could be figurative because we sometimes say that life experiences are a ride. So, I am taking my time, enjoying, and savoring the ride/journey/time.
We make our own sense. - I have not heard the song Scott mentioned, but I think this is something said between close friends who know each other well and have lots of private jokes. We make sense to each other even if no one else understands.