Not too picky
I often park out in the lots, but try to find a spot between two nice cars - never next to the methmobiles. Of course, you never know who will be coming or going while you're in the store. It's illegal to park in the fire lane directly in front of the store, with the exception of those who are loading or unloading passengers or purchases. Often, the lots will have spots that are too small for cars, so they don't mark them for parking. I often park there and have never had a complaint about it. Amazingly, for a place that is a major destination for riders from around the world, I can only think of one tourist spot near here that has specifically designated parking for motorcycles - Chimney Rock State Park. They have a great and secure parking area for bikes right in front of the store at the bottom of the cliffs. I don't mind leaving my gear on the bike there, 'cause there will always be somebody nearby to keep an eye on the bikes.
The grocery store that I go to has a wide concrete veranda in front with tables and newspaper racks that is sometimes used by the likkercycle crowd for parking, but so far, I haven't parked there.
One thing that I always try to look out for is runaway grocery buggies - our local Wally World has a sloping parking lot, and it's not uncommon to see a buggy careening across the lot on a windy day. Anytime I go there, I park at the top of the lot, even if it means having to walk further to reach the store. I've seen some big dents inflicted on some of the unlucky shopper's cars from the wind-blown buggies.
If I lived in a city or a place with a rep for crime, I'd probably be a lot more cautious.
Hey, this is totally off-topic, but while I'm typing this, I'm watching a show about Cambodia on HDNetwork. They were showing a young couple taking a jungle tour on the back of an elephant - and the guide, during the entire ride, was texting on his cell phone. Dang, it's like a crack habit!