I totally agree!!!!! I honestly don't know how parents can feel comfortable posting videos on youtube for ANYONE to see..... I have put up videos of my daughter on youtube but that is set to PRIVATE so that the only people who can see the videos are the e-mail addresses that I put with it. And the only reason I even put them on youtube is because my husband's family live in another country and don't get to see their granddaughter/niece in person.
Depending on what site you use for your website you can add the password protected pages. For example, on Weebly you pay a bit to upgrade from the "free" version and then you can put password protected pages. Personally I think it is worth it. I like to protect full pictures and then use partial photos (not showing the face) for advertising.