I want to get a degree or certification in nutrition but I would like
to study at home.  Could you help me research information to find a
reputable school that provides distance learning?

Here is the link for the American Dietetic Association's list of
Didactic Program in Dietetics. These are the accredited/approved
programs which provides the required dietetics/nutrition coursework
for a Bachelor's and graduate degree. Scroll down towards the bottom
for a list of programs offering Distance Education.

http://www.eatright.org/cps/rde/xchg/ada/hs.xsl/career_2192_ENU_HTML.htm#DISTED