I've concealed at the mall. I chose to leave my weapon at home when I took the kids to a mega-play center, simply because there were probably 150 people crammed into a very small space... I wouldn't want to be tempted to use it in self-defense there because of the risk to others.
In your case, I'd be paranoid to OC in the car, simply because it's my belief that Delaware LEO's don't run into it often enough to know it's lawful. Restaurants, convenience store runs I'd probably open carry, though if I felt comfortable.
Don't get me wrong, I was paranoid when I took my coat off the other night in the pub as I mused over my Pepsi, open carrying for the first time. I'm still paranoid and know that my pre-paid legal is only a small step above a public defender. ;p
Delaware has no restrictions on where you can carry, outside of Dover, state parks and forests and that pesky illegal New Castle County ordinance that'll soon be amended.A few places that I'm not sure of (for legal OC) are: public libraries and public playgrounds. Does anyone have any idea if these are "off limits" to firearms via Delaware Code? Or have you seen any rules/signs posted prohibiting firearms in these places?
Statutorily, that's it. Even schools and recreation centers are fine as long as you open carry or want to conceal with a permit. That's our understanding of our laws -- we have blissfully been unaffected by carry restrictions, simply because I think it's never been much of an issue. Thankfully, with preemption, no restrictions will ever be put in place, either.