I'll go ahead and toss in my thoughts.
I am a firm believer in stretching muscles that are warmed up. If I try to stretch at home, or anywhere, without having just been running or doing something else active, it just hurts more than I actually feel a good stretch. So my easy answer to this question is that, yes, I like to stretch right when I get done running. I have noticed myself to be considerably less flexible than others my age all my life, I could never touch my toes growing up and my hips have always been really tight as well.
Lately I have come up with a bit of a new theory concerning stretching. Obviously we don't really see other creatures practicing static stretching, yet they always seem to be quite limber enough to do their normal animal things. These "normal animal things" that I am referring to are laying down on the ground, sitting on the ground, and running/walking (barefoot obviously).
Quite simply I am starting to believe that our habit concerning simply sitting down (which for many of us is more of the time than standing up/running/walking ie work or school) is the most important determinant of the flexibility/mobility/limberness of our bodies. We are often sitting down for very extended periods of time, so, naturally, our bodies adjust to the types of conditions they are put in. The typical sitting position in a chair just seems extremely unnatural the more I think about it, it seems to shorten the hamstrings and not allow for much mobility in the hips.
I say these things having actually given sitting on the ground a try for the past week or so. Most of us sat "indian" or "pretzel" style on the floor when we were in elementary school. I don't think that we should have strayed from this habit even as we left the childhood classrooms. I have been trying out this kind of sitting on the ground, along with others (like my legs out in front of me) for about a week or so. Sometimes I do it for hours at a time.
And I will tell you, my legs and hips feel pretty crazy after I do this. It's not a bad feeling or anything, my legs just almost feel like they are in shock from not having been put in those types of positions for so long. A lot of posterior leg muscles and hip muscles feel extremely tender and "awakened," almost. My hips also just feel a lot more mobile and less tight.
Like I said, I haven't been continuously doing this for very long, so I am going to try and continue with it for an extended period of time and see how my body reacts to it.