A line holder assembly may include a molded nest coupled to an anchor pad or base having a flat bottom with sufficient surface area in contact with a table or other surface to secure the line holder assembly in place during use. The nest is designed to extend around a cart or table edge and having tabs to accept a line holder for holding and organizing lines and which may be disposed in a vertical position. The anchor base may be made of or otherwise include a flexible, rubber-like material, such as silicone, and thereby use the material's natural stickiness to provide fixation to the table or cart. The line holder assembly may be beneficially used in connection with a home dialysis machine, such as a peritoneal dialysis (PD) cycler, in which lines and connectors are desirably organized and anchored during a dialysis treatment.