Modena-Parma Area Food Wine tips
If you are in or around Reggio nel'Emilia, its not small with a sizeable historic center, duomo and adjoining squares with weekly markets (as well as some Roman bits in a nearby park. Prosperous, Im sure you can find good meals there and be able to do whatever food shopping for local specialties you would want in that area.. Trattoria della Ghiara a slowfood place is one possibility (we hit town at midday closing on this place's closing day) so cant attest but its certainly not the only game in town..
There are restaurants out in the country nearby that might be in reach for you
In Rubiera, just down the road is Arnaldo Clinica Gastronomica, which made us very happy with their regional specialties, there is also a more recent Osteria Viandante, a little more expensive in that same town which we did not visit.
Here is a link to one of the local aceto balsamico tradizionale consortiums - the products are widely available in all kinds of shops in the region.