I'm not in the area, but I imagine that pretty much any charity/Goodwill type store will take them off your hands.
Here are a couple of links for you:
Bike co-ops are great community centers that provide space for us cyclists to fix our gear and for needy kids and others to get bikes for free or cheap.
Yes, give it to Re-store, Freecycle.com or a local charity in your area.
No,.. have checked with Goodwill, 1304 Bikes an Vietnam Vets. They only accept bikes that are in "good shape."
Thank you for the suggestions but this doesn't answer my question because the suggested agencies only accept bikes that are in "good shape."
Did you check with the Durham Bike Coop. I know it's not super-convenient for you, but they should be able to fix it up.
Yes, I checked with the Durham Bike Coop...it is a good alternative but as you say not too convenient. However, I haven't found anything more convenient in the Raleigh area. Thanks for your help.
If they have little rust, the wheels do not wobble from bad bearings, the tires are OK and will shift, then some old bikes are in demand. I have had luck selling them as "Classics" on Craigslist. Cobwebs, dust and flat tires (most go flat after a while) do not necessarily make it a "bad" bike. It's also a good/fun project to restore these bikes, plenty of info on UTube. Also, Craigslist has a "free" section".