Search around the site, or someone else will chime in. I think you cant OC on NCC parks, same with Newark. Tho' they're illegal ordinances, they have yet to be challenged that I know of.
Also, be careful of schools. I think there's no state law, but the Feds have the 1000' thing. IANAL (I am not a lawyer), so keep reading and researching. I stay away from schools when OC'ing. But on the road you cannot drive 5 minutes in NCC without passing by a school. So just be aware.
Other than that, we OC all over. Also check out DELOC.org, THE open carry site for DE.