Wow, congratulations!
Just a quick thought. I used to be a curator and my advice to you would be not to get the books down from the attic into a warm, centrally heated envionment. This is likely to cause more stress to the materials. If I were you I would try to gradually aclimatise themselves to whatever new environment you want to put them in. So if the attic is damp and cold, put them in a cool upstairs room or even the garage for a short while, then in a more normal place.
Get the out of that blue tissue paper asap as it could stain and ruin the books if it gets damp Wrap them in acid free tissue, which you can buy in the post office really cheaply. Don't put them in a plastic bag or cardboard box as they contain chemicals that will leach out into the books. Don't stack them on top of one another. Store them with their spines vertical on a shelf with some sort of book ends to stop them falling. Keep them well off the floor (floods, spillages, etc). Keep them away from any heat source such as radiators. Keep the room they are stored in cool and dry.
Don't try and do any repair work of your own and I wouldn't even try to turn the pages if I were you, except to identify them. It would be best if you didn't handle them with bare hands at all or let anyone else do it, because there are acids and oils on your hands that can leave marks. The best thing to wear is white cotton gloves. If you can't do that, wash and dry your hands thoroughly before handling and if they get at all dusty through touching the books.
And don't let your DC anywhere near them! Thanks for that opportunity to pretend I still have a brain and skills other than washing and nappy changing