If you're looking for a meeting place or a good stop around ½ or halfway between Nicholasville and Bardstown, you can try Ballard, KY, which is about half an hour west of Nicholasville, or about half an hour east of Bardstown.
About ⅔ or two thirds of the way, you can stop at Tatham Springs, KY. This is almost an hour west of Nicholasville, or about half an hour east of Bardstown.
About ¾ or three fourths of the way, you can stop at Chaplin, KY. This is almost an hour west of Nicholasville, or about 17 minutes northeast of Bardstown.
If you drive straight through without stopping at all, the total distance is 61 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 1 hour, 5 minutes.