If you like Italian go to Ciao Bella, it a a “locals” spot.
Hog and Hominy is a really nice mid-range place for food but they serve high-end (read expensive) drinks. Great bar though.
Fino’s is a great deli for lunch. They have great sandwiches and good hot pasta dishes daily.
Folks Folly is the best steak place in Memphis hands down. It’s kinda like a Ruth’s Chris in terms of everything being a’la carte and family sides.
Heading toward Germantown you have Germantown Commissary, one of my favorite BBQ places. Back in East Memphis you also have One and Only which is newer but is really good.
Right near you there is Owen Brennan’s, Babalu’s (same as the one in Jackson), Amerigo’s, Capital Grill (but got to Folks Folly if you want steak), Las Tortugas which is southern Mexican (think tortas and elote instead of what we usually get like tacos, enchiladas, etc.).
If you want to go to midtown you can find TONs of stuff. Just go to the square or Cooper-Young and you can’t go wrong. Tsunami and Beauty Shop or some awesome CY choices.
Have fun!