Just wondering how much wear and tear might happen by checking the stroller when we board the plane. We have a nice one and so does my mom. We want to bring one that has plenty of covering to keep our daughter as shaded as possible, plus recline when she needs a nap, and have storage underneath...like both mine and my mom's. Are we ok to bring ours or should I look for a used one on Craigslist to buy and bring? Thanks!