We have the Kwigy Bo Alex Bag, the large one, LOVE IT!. Looks just like a large purse w/four pockets on the side for the "stuff", you know the stuff, yours and your babies and if you can limit yourself to two of the pockets you don't have to carry a purse too, a good thing. But nobody ever thinks it's anything but a big purse. AND big purses are IN these days. Now Sprocket is 10lbs so my way of carrying the "purse" is a little strange, supporting it from the bottom, but so what, some people carry everything they own in their purse, I have the most precious thing I own in MINE! OH I forgot you asked about the ends and getting air, both ends roll up and are discreet, it's sturdy and has good handles and a solid bottom. One of the YTer's here offers these at a good price and though they are not cheap, they are well worth the price cause you don't need a travel bag in addition, at least that was how I sold it to DH

Ours is the black croc one w/fake silver trim, nice, just like you see "others" carrying only their bags don't wiggle