Copyright issues for Community Access Television Story Hour

I'm looking for some advice on copyright issues and perhaps some personal advice from someone who might have produced a Community Access Television Story Hour. I'm working with my local community access television station to produce shows. I would like to apply for a local Cultural Council grant to produce a show featuring grandparents who want to read to their grandchildren. The grandparent would come down to the studio and sit in a rocking chair and read.

Here's my reference question: Do I need to get permission from each publisher to use the book on Community Access Television? Or, is there some type of blanket contract that might apply, similar to permission to show videos/dvds in libraries?

Here's the concept: We would film the story being read by a grandparent, which would be reproduced on DVD for purchase by the Grandparent, so it could be replayed as many times as it interests the grandchild. The reading would air once or twice for a general audience, more if it was a classic book by an exceptional reader. I think the project would be especially popular among grandparents that live far from their grandchildren. The grant would provide seed money for a selection of good big print children's books. If successful, the profits from the DVDs would keep the show going after the grant runs out.

Any comments are appreciated.