Where does your family normally shop (if you dont mind my asking)? I work in weird parts of town (I'm a freelancer so my job takes me all over) and I prefer to stop at the store on my way home. That means I stop where ever is close...and I have to make do with the selection they have.
Kroger has a nice health food selection, though there's not a ton of variety. Meijer is probably the "best" major grocery for veg eating based purely on size. The downside? they hide their specialty products in odd places.
If you live near downtown, check out some of the places down there to try to eat. Toscanis has pizzas pastas and salads with delicious toppings that are vegetarian (not vegan) friendly. Dash-In (changed ownership, not sure if it's still 21 and older...but they do deliver and offer carryout) has AWESOME veg*n friendly foods. If you'll do cheese, check out their grilled cheese and soup combo. It's to die for! Their pesto soup is out of this world
Also, my very favorite place, Muchie Emporium/Dicky's Wild Hare/Lucky's Terrapin Grill ...not all the same company anymore but they're all over the city. They make the most delicious homemade veggie burgers, red beans n rice, and these spicy potato wedges (with a cucumber yogurt dressing)...they're AWESOME. Also, Jefferson Pointe has FlatTop (if you're ever down that way). Easy to go veg there and still have tasty stuffs for your family.
On Lima Road (near I 69) there's also House of Greens which i hear is STELLAR! Might be worth checking out as well.