I went to Mexico with my gf and we took several videos on my phone that i'd like to share with her. Is there an easy way to do this? I'm always scared youtube will let the whole world see everything.
If it's only one person you would like to share with (then why not give the files the traditional way, a USB stick or something) the best solution is to upload them to Dropbox. Then you will give the link to the person you like.
As other said, if you want to share with just a handful of people, upload the videos to a cloud storage and send them links. Dropbox, SkyDrive (OneDrive), Box or Google Drive are the most popular. If you already use one of those, use it so you don't need to keep tabs on the others if you don't use them often.