The former is a local crab. Discovered by me and will probably only ever get a mention in its lifetime in this post. Radius around 5 cm.
The later is the Helix Nebula located 650 light-years away in constellation Aquarius. Discovered by Karl Ludwig Harding, probably before 1824. (according to wikipedia). Often been refered to as the eye of the God. Radius 2.87 light years.
Image Courtesy NASA/JPL-Caltech. http://gallery.spitzer.caltech.edu/Imagegallery/image.php?image_name=sig07-016

The local crab is here. The Helix Nebula is here.