And once I've parked, I usually lean on the tail of the bike and push down to see how balanced it is. If a tiny push starts to tilt it past the point where it's gonna keel over, I adjust it and try again. Keep in mind that once you've climbed off the bike, it will rise a bit and tilt more downhill than it did while you were sitting on it, so it's good to doublecheck after dismounting.
At least the city actually seems to have the sense to mostly put moto parking on the uphill side of streets. I hate parking on the downhill side. Hate it, hate it.