Hendersonville has chain restaurants like OCharley’s, Outback, and Applebee’s, plus other fast food places like Chick-fil-a, Zaxby’s, Taco Bell, Pizza Hut, Kentucky Fried Chicken, McDonald’s, Wendy’s, HoneyBaked Ham, Starbucks, etc. There is also Binion’s Roadhouse (burger, ribs, steaks, etc.), Bay Breeze (good family style seafood), Fatz Cafe, Fireside Restaurant and Pancake House, and various pizza and Mexican places here and there. Downtown HVille is a hopping little area, with Brandy’s and Postano’s for fine dining, Never Blue (tapas bar), Flanagan’s Pub, Mezzaluna Brick Oven, Black Rose Pub, Haus Heidelberg German Restaurant, Renzo’s Italian, Umi (Japanese/Sushi), and various other places. Flat Rock Wood Room (just south of Hville in Flat Rock) has very good wood-fired pizza and also excellent BBQ. Also in Flat Rock is Seasons Restaurant - it’s a bit upscale and pricey, but good.
If you take 64 north out of Hendersonville, you can hit Alt74 East at Bat Cave and head toward Chimney Rock. There are a bunch of little bars and cafes and bistros along the Broad River. Keep going east on 74 and you will get to Lake Lure - there are several eateries there, as well as the 1927-era Lake Lure Inn and Spa where they filmed Dirty Dancing.
Word from the locals in HVille is that they are expecting mobs of people everywhere, so be prepared for lots of traffic and long waits to get in anywhere.