A system for use with a bed having a frame and a supporting surface includes a base sheet having a top surface and a bottom surface adapted to be placed above the supporting surface, and a glide sheet positioned above the top surface of the base sheet. The base sheet has fasteners located around the peripheral edges, which are configured to releasably fasten the base sheet to the bed. The base sheet and the glide sheet each have a tether strap, and the tether straps are configured to be connected together to secure the glide sheet in place. One or both of the tether straps may include at least a portion that is elastic. The system may also include a wedge, where the wedge has a hook-and-loop or other releasable connecting material that is configured for connection to a complementary connecting material on the base sheet and/or the glide sheet.