IMHO this is a pretty daunting project if you are new to statistics, but to answer your question, see the GENMOD procedure.
The Getting Started example assumes a binomial distribution, but you can use that example and change dist=bin to dist=negbin (on the MODEL statement) in order to fit a negative binomial model on that data.
ANOVA, or Analysis Of Variance, is used to compare the averages or means of two or more populations to better understand how they differ. Watch this tutorial for more.