Give me your best tips for traveling solo with 2!

My parents have car seats that we can use once we arrive at our destination, so we don't need to worry about those. My main concern is getting through the airport. Do you put the infant in a carrier and the toddler in a stroller? Or the reverse? Toddler will refuse to walk the entire way on her own, so that's not an option.

But tell me if you think there will be other challenges that I'm not anticipating. (I have no qualms about handing the ipad to the 3 year old for the duration of the 2-ish hour flight.)