Take the stroller you want to use at your destination. The brief aggravation of dealing with your stroller at the airport would be magnified a hundredfold if you were stuck using an undesirable stroller at your destination.

We regularly travel with a MBUD, P&T e3, or Maclaren double, plus two Marathons. When we only had one kid, the Peg Perego P3 went everywhere.

The cheap umbrella strollers don't have storage, don't have adequate sun protection, and aren't very comfortable for your child during a long day's outing.