Aspects of the invention include an improved, adaptable sleeve for attaching at least one handle which can accommodate a range of containers of varying shape, size or material compositions. In certain embodiments, the sleeve has one or more protrusions having ergonomic features to assist holding the container upon which the sleeve is installed. In certain embodiments the sleeve is comprised of an elastomer material. In certain embodiments the sleeve is comprised of an expandable, corrugated sleeve wall to receive, conform and adapt to a range of containers. In certain embodiments the sleeve provides improved grasping and control functionality for infants, and users with limited grasping capabilities due to youth, injury or other impairments or restrictions. Accordingly, in certain embodiments the sleeve is silicone with the protruding elements configured to function both as a grasping and control aid for the container and a safe teething chew accessory for infants.