Yeah, the correct answer is to basically chuck it all. If you have a bit of possibly unique content, perhaps contact a relevant archive (which I did recently) but otherwise accept that you don't need to find a home for everything. Books, DVDs, and CDs can go to your local library's book sale though most will end up pulped. VHSs are mostly just trash at this point even if someone, somewhere might want them.

I keep my DVDs on those spindles that recordable discs come on. I take the paper and the disc, and throw out the case unless it's a really special one.