Mary, to get to the River Market, take I-30 West off of I-40, cross the river, and take the Cantrell Road/Clinton Avenue exit. It's maybe a couple of miles from I-40. You'll find lots of local restaurants in the River Market, along with a couple of chains like Flying Saucer. I wouldn't say they're the BEST restaurants in town, but there are some pretty good ones, and some fun places to hang out.
You could stay at the Capitol Hotel, and dine at Ashley's. Ashley's is FABULOUS. The hotel might be over $100 a night, though. It's right up President Clinton Avenue from the River Market.
Other popular restaurants not in the River Market, but still convenient to there: Juanita's and Lulav (downtown), Brave New Restaurant, Loca Luna, and Faded Rose (Riverdale) and Ristorante Capeo and Cregeen's (Argenta).
Here's a good list of restaurants in LR/NLR. They'll be able to give you directions at the hotel.
Arkansas Times
I hope you enjoy your evening here!