No, we avoid our local Kroger store (different name here), but when we go, I use my parents' number since they go there a lot and frequently use the fuel rewards. Our local grocery is supplied by Associated Food stores, which has the "Food Club" and related store brands.

The main options in my area (Utah) are:

• Kroger sub-brand Smith's - not very convenient in my area, but the stores are large and have everything
• Associated Food brands - smaller, more plentiful stores
• Walmart/Sam's - I avoid like the plague, but they're just as plentiful as AF brands
• Target - crap quality and high prices, not an option at all
• Costco - good selection and great quality for the price
• random specialty shops - higher price, but niche selection

Most of our spending goes to Costco, most of the rest goes to specialty shops, and we fill in the gaps with the local grocery chain. We spend something like $100/month at the grocery store, so it's not worth interacting with their loyalty program.