Everyone ignores Reggio Emilia, the city that put the Reggiano in Parmigiano Reggiano.
You have the Via Emilia and a train line from Bologna (leaving every 20 minutes), stopping at Castel Franco Emilia, Modena, Reggio Emilia and then Parma, on its way to Piacenza.
Parma has an amazing museum cathedral complex in addition to the foods that are famous from there, and some of the best filled pastas in the world. They were also home to TWO artistic masters of the Renaissance, Correggio and Parmigianino.
Modena has one of the most amazing food markets in existence, and a place considered by some to be the best restaurant in the world (mileage will vary), whose ebullient chef can often be seen in said market.
Depending on whether your interest is centered in Bologna (a culinary wonderland in and of itself), or out in the Parma-Modena will determine where to stay, as will your interest in driving around, staying maybe in a agriturismo (recommended experience imho), and what you want to do beyond the food.
I'm in the ridiculously early phases of planning a 20th anniversary trip for 2025 that will be centered in E-R. I'm thinking a cooking class in Bologna that includes a market shop, so an all day affair. That's one. A visit to the INSANE church conglomeration of Santo Stefano, and maybe a walk through the Palazzo Comunale, that's a second day. Bologna also looks like a good city for a walkabout, with porticos and porticos and porticos. And food stores, and restaurants, and snack shops and more. So, I think three days there, at least for us. We'd probably climb the Torre degli Asinelli, with 498 narrow wooden steps and tilting 7.5" off the vertical on it's 318" height.
We would likely decamp from Bologna via a rental car out to the countryside. Stay at an AT. Parma has the Camera di San Paolo and the Pilotta Museums. We might take a second market tour/cooking class in Modena to get the most out of Mercato Storico Albinelli. We don't have kids, so we'd do a day of wine tasting, but I'm planning on splitting the two weeks with Tuscany, so we might do that there instead, as the wines are a bit better regarded. Parma and Modena both have cathedrals, and my rule is to never skip one. And then there's the Ferrari tour if I can sell my wife on it. But Cameron Hewitt (sp?) recently posted about his 2022 travel, and he spent time in Modena, spent no time in the cathedral (unimaginable to me) and no time in a museum, and LOVED it. Makes a great pitch for it (and getting off the Rick sites and into some less densely touristed Italy).
I'm gonna put a couple links here for ya to let you see what's on offer (and maybe for my future reference ;-):
https://www.visitmodena.it
https://www.parmawelcome.it/en/
https://www.reggioemiliawelcome.it/en
https://www.bolognawelcome.com/en
I'm not saying don't visit Ravenna. Everyone who goes there raves about it. I might be compelled to give my wife a day in Ravenna to either get a drive out to San Secondo for the Culatello di Zibello (the salumi of divinity) and the Spalla Cotta di San Secondo or the Ferrari museum.
Gotta find out why the wife and kids want to go to this lightly touristed (by Americans) part of Italy, and match that to your interests. I'm sorry I'm in such a preliminary stage of planning, else I'd have more for you. I had a plan for 2017, but we went to Piemonte and Val D'Aosta instead.
PS- Do not let anyone poop on Lambrusco. It is a fun wine the pairs brilliantly with the rich food of the region. Lovers are gonna love, haters are gonna hate, I just like a nice light, acidic, carbonated wine with my cheese, ham and sweet syrupy delicious vinegar adjacent condiment, and my tortellini en brodo.