Best Route/Stopping Recommendations

[EllNat11]

So we aren't driving to Disney, we are going to Charleston, but figured some folks may have some advice/recommendations!

We are driving from Western NY - leaving on a Wednesday Morning (our goal is to leave super early, but will adjust depending on the timing for hitting certain areas).

First - it seems that we have 3 options:

I-95
I-81
or I-79+77 (not sure about this one, seems to take us a bit out of the way).

Which would be best?

Also, it's about a 13.5-15 hour drive, but we have a 2 year old, so would be making stops and will stop overnight somewhere. Recommendations on rest areas or exits that may have a play ground or place to safely run off steam? Good place to stop for the night?

Thanks everyone - this is our first road trip with the little one so i'm feeling a bit lost!