Imgur is free and links to your full size images without needing to be on webpage like tiny pic/photobucket.
If you were to click this link:
CLICK! you would just be taken to the image.
You can add the lowercase L in front of the ".jpg" to shrink them automatically!
Direct linking, no matter what site you decide to use, is copying the BBCode that looks like this.
[IMG]http://i.imgur.com/WBHI7sz.jpg[/IMG]
Linking a photo to text is like this
[url=http://i.imgur.com/WBHI7sz.jpg]TEXT HERE![/url]