~
You should direct people to bitcoincore.org as it is the project's actual website.
^ This! I used to direct people to both bitcoincore.org and bitcoin.org, since bitcoin.org has some good tutorials and easy to follow instructions on setting up core. If I'm not mistaken Bitcoin.org is (still?) owned by
Cøbra, but he's got some legal trouble with it since a scammer is trying to claim he owns the domain name.
Until things get ironed out, I'm not too trusting of the bitcoin.org site.