Vinyasa yoga is a "flow" yoga. You move smoothly (the goal) from one pose to the next.
Helps build up heat, is mildly aerobic too.
Pigeon is usually done later in the hour as it is quite an intense hip stretch.
It is my area of unusual tightness, so I focus on it, especially for skiing.
Many poses, when done correctly, encourage the use of the inner leg muscles to "pull the inner legs toward each other"
These inner muscles are not strengthened much by daily activities and need targeted exercise. Very useful for skiing.
I suggest you get a book on yoga and look thru the poses. You can create a 15-20 minute "flow routine" based on your needs.