The flight is a quick one, so seems like a good starter flight for kiddos who haven't flown. The drive is gorgeous and doable in 9-11 hours, but that's what it took me as a solo adult so you'd need to account for the requisite kid stops. Breaking it up over two days would help - that's a long trek for little guys in one sitting.
If I didn't hate flying I'd probably recommend the plane just so you don't have a 2-day journey at either end of your trip. But if you choose to drive it really is nice - especially crossing the mountains. Good luck! I'm jealous

love Nashvegas!