Welcome to Kentucky and to the forums here.
I really can't answer about Richmond, but Lexington is full of things to do, and great restaurants.
(I am not sure exactly...do you love steaks or are you Vegan? Do you like fun nightlife or a Hike in the woods?
Museums and Library or Movies, Plays and/or a Concert? Are you looking for shopping or want to visit a park?
Lexington Restaurants
In Lexington you might want to take some horse farm tours and visit the Kentucky Horse Park
Places to see