Without knowing how much time you have for each leg, and without knowing anything about the interests of you and your children (other than baseball), it's hard to make meaningful recommendations. What we can point out, as Donna did, is that it is a minimum two day drive if you take the most direct all-Interstate route. Actually, depending on exactly where you're leaving from in the Atlanta area and the state of I-85 through the city at that time, you may want to look at taking I-75 up through Chattanooga and Knoxville to I-40 and then I-81 rather than the more 'direct' I-85 to I-77 at Charlotte and then I-81. Going viaChattanooga/Knoxville adds about 25 miles to your trip but may be worth it depending on your local situation in Atlanta. Either way, it will be a full two-day drive between Atlanta and Cooperstown with only a few short stops each day to let the kids (and drivers!) get some fresh air and exercise. If you want to do more than that, there are certainly opportunities, but we'd need to know your final choice of route(s) and how much time you'd have.
AZBuck