How much DNA do we share?

I was chatting with "likely" relative, geneticist, on my father's side.

- humans and chimps share 97-99%,
- humans, like myself, and Neanderthals share 3%,
- 3rd to 4th cousins share 0.8%, 

Should this explain why I feel more at home in the ZOO then over the birthday party of my grand-aunt? 

Written of course as a joke, still, it needs clarification. I hope to see an article soon.