The Arm’s Reach Concepts Ideal Co-Sleeper Bedside Bassinet is the best rocking bassinet for parents who want a safe and easy way to keep their baby close by. This bassinet can be used as a standalone bassinet or can be attached to the side of your bed so you can easily feed and comfort your baby during the night. It has a sturdy frame and comes with a mattress and bedding so you can use it right away. The bassinet also has a storage shelf so you can keep baby’s essentials close by.