If you have spent any time around climbing (or me), you're familiar with "the red", better known as Red River Gorge or "the gorge," if you are from the area. You'll hear "the gorge" from locals since it's the closest outdoor spot like this. You'll hear "the red" from climbers since "the new" (New River Gorge) and other climbing spots make it harder to differentiate when it's just "the gorge".
The Red is a place you can restructure your life around. And I don't say that casually. We commuted from Dayton, OH for about a decade before we made the move to Lexington. A big part of that decision was proximity to Red River Gorge.
Miguels
Miguels and "the red" are practically synonymous. After asking about your send, how it went (or didn't...), the next question will inevitably be: "How was Miguels? Best slice of pizza of your life every time." And after a day of hiking or climbing, they'd rarely be wrong. Other top tier food and drink options include Rock House, Hops Fork, and Sky Bridge Station.
Climbing
Pound for pound (whatever that means in this context) this is the best crag in America. Every time we travel some place new to climb, we'll be up and down a route and say something like "that was pretty good.... but it ain't the red. I'm open to people having differing opinions, but I'm not convinced otherwise.
I'm nostalgic here with experiencing my segue into outdoor climbing, my first sport lead, trad lead, and over 60% of all the routes I've climbed (381 at the time of writing) have been somewhere in the red. In 2013 you could roll up to The Gallery on a Saturday morning and have the place to yourself on 5 star easy routes.
Those days are becoming less and less present, but there are plenty of easy trad routes a little further off the beaten path where a similar day can be had.
Hiking
There is plenty of information around hiking here, and I'll just throw out some of those trails we enjoy: Chimney Top, Sky Bridge, Rock Bridge, Whittleton Arch & Natural Bridge (with or without the ski lift). These are great easy/moderate hikes (the latter being the only of these that isn't dog friendly).
If you want to put a few more miles on the shoes in a given day, we'd be out at: Courthouse Rock, Cloud Splitter, or anywhere along the Rough Trail.
Camping
Our default for camping is to stay at Lago Linda if we are looking for any sort of amenities. Larry and Elaine are fantastic hosts and I couldn't recommend them highly enough. If you drift more towards group camping, Miguel's and Land of the Arches are always full of climbers. If crowds aren't for you, I would recommend getting an annual pass for Daniel Boone National Forest and setting up with more primitive accommodations.