A pallet shelfing apparatus for shelf racking of a pallet in a shelf structure, configured to operate in loading, unloading, and hibernate/transport modes. A transporter thereof transports and positions the platform. On a platform configured for loading and unloading the pallet from a selected shelf of the shelf structure, at least one deployable pallet carrying structure is mounted and configured for carrying, reaching and engaging the pallet. At least one deployable anchor, for temporarily stabilizing the pallet shelfing apparatus against at least one hold is deployed in the loading or unloading mode, to engage the at least one hold for stabilizing, and features the at least one hold located off ground, off ceiling, or inside the volume confined by the convex hull of the shelf structure. This volume may be disposed between the platform and at least one of the at least one hold, while in the loading or unloading mode, at least before changing mode into the hibernate/transport mode. The at least one deployable anchor is configured to change the elevation of the at least one deployable pallet carrying structure, after the carrying structure initially engages the pallet.