Low-profile computer supports include features to reduce the thickness and improve the portability or storage capability of a computer system while it is disassembled, packaged, shipped, or moved. Some computer systems have a computing device and a dock device that can be stored and moved separately or that can store or support accessories associated with the computer system. Some computer systems have a movable stand configured to transition between a collapsed state and a deployed or standing state. Some stands include handles or grips for moving the computer systems while collapsed. Other computer systems include handles or grips to provide areas to more easily carry the computer systems. The handles or grips can have features such as a flexible material to hide or mask their appearance on the computer system.