I unclip on both sides depending on the situation. But what I also do is, as I'm stopping, get off the saddle, move my weight towards the bars, and put the unclipped foot on the ground beside the front wheel and about a 12-18 inches away from it. This gives me a nice 3-point stance and makes it almost impossible to fall over to the clipped-in side. It also gives my body a little more clearance on the standover because the bike is leaning 15 degrees or so.

If you put your foot down too close to the bike, you are more likely to fall over, so lean the bike and put that foot as far out as is comfortable.

Karen