Some basic models may be easier to cart around because they don't have any extra parts. You can also look for bags that leave the play yard's wheels free, so the whole thing can be rolled once it's packed up. If you plan on taking frequent trips (especially by air), you might want to consider a heavy-duty bag that you can buy separately, such as the Rover Gear Easton Travel Yard Bag (about $34).
If a quick DIY play yard better suits your requirement then make one at home with an inflatable plastic kiddy pool. In case you have a kid’s plastic pool lying around in your house, then you can inflate it and convert into a play yard. Simply inflate the plastic frame, place a soft blanket or mattress inside it, and you just made a safe and comfortable place for your baby to play. Just make sure the walls of the pool are high enough to prevent your baby from crawling out. Also keep all sharp and pointy things away from the pool.
Perfect for a variety of different uses. Having 3 kids under 5, I've used my fair share of baby gates and play yards. The Evenflo play space is very portable, lightweight and easy to fold down and take on the go. You can add and remove sections with a simple push of a button. I'm currently using this gate to block off my fireplace from my one year old who's fascinated with climbing on it. Also, I will be using it during the holidays to wrap around and block my kids from getting into the Christmas tree. I would recommend this gate.