Carolyn--not exactly sure what they are primed with, but it does appear to be a chemical/biological coating. I know the seeds must be used within 6 months (due to breakdown of whatever the priming material is?). My best sources have been Johnny's Select Seeds (although they were out of stock this year), and new to me this year, Swallowtail Seeds. Germination from the Swallotail sees has been good so far.
I've done cuttings, but they are pretty iffy. I only get about a 25% success rate with cuttings. I keep mine on a heat mat, and under a dome. Cuttings do best from new growth. I doubt grocery store cuttings would be "fresh" enough--I know what I purchase from the grocery store are pretty old...... If you are going to try it, I would recommend trying some rooting powder for a little extra boost.