Some changers allow you to change several discs while one plays. Good ones will accommodate up to five or six units. There are an increasing number of CD players that also have CD recording capabilities. All CD recorders also play CDs. Most DVD players today also play standard CDs.
CD recorders are generally much more expensive than CD players.
See CD Recorders for more information. Most home audio CD player units and carousels come with remote controls. These remotes have all the basic and non-basic programming and menu options. Some of the less expensive CD players have no function buttons located on the front panel, and the use of a remote becomes mandatory. This depends on what you plan to do with your player and how you will have it set up.