Yes, the All Stars JOY comes with a handy travel bag that allows the playpen to be taken out and about. The overall size of the bag with the playpen inside is approx 76cm in height and 28cm in diameter and it's light enough to be easily carried over the shoulder!

The playpens fitted mat is not particularly thick, it is designed to be more of a ground sheet for outdoors use or to prevent marking carpets or flooring. The mat has a slight element of thickness but if your planning on using this on tiled or wood flooring extra padding could be considered to be used underneath the playpen, such as a blanket or foam playmats.