A tool for deploying an anchor sleeve onto an implantable device includes handle and base members, which may be fitted together by an operator. The operator may select the handle member from a plurality thereof included in a kit; and the base member, also included in the kit, includes a rail segment with which a gripping portion of the selected handle member may be engaged, for example, via guidance from a marked portion of the base member. Once engaged, a deployment tip of the base member is located to move a mounted anchor sleeve from a tubular member of the handle member and onto a body of the device. The tubular member of some tools has a laterally offset distal end portion, on which the corresponding anchor sleeve is mounted; thus, kits including this type of handle member, may include a converter for the base member to facilitate engagement therewith.