FYI... stretching doesn't have to be coupled to an Eastern religion like it is with yoga. I.e.,
yoga is tightly coupled with Hinduism.
Thus, if you'd like to improve your flexibility w/o the religious overtones, I've found "primal movement" to be helpful way to combine flexibility and strength training all-in-one. As a cyclist, our core and upper bodies are typically very weak, so it's helpful to increase strength as well as flexibility. A quick search for "primal movement" should return all sorts of free videos.