An attachment facilitating device and a pet carrier for a bicycle. The attachment facilitating device is an elongate support for a bicycle-mounted carrier that mounts between the saddle and the handlebars of a bicycle. The support includes first and second ends. A first clamp is associated with the first end for gripping a tubular, member of the bicycle adjacent to the handlebars. A second clamp is associated with the second end for gripping a tubular member of the bicycle rearwardly of the first clamp. First and second elongate arms are slideably engageable with each other The first and second arms each have a proximal end region opposite their respective distal end regions associated with the clamps. The first arm is for supporting the carrier and is fastenable thereto. The second arm includes a linear region extending from the distal end of the second arm towards the proximal end of the second arm. An angled region is adjacent the linear region. At least two fasteners enable fastening of the first and second arms together in either of at least two orientation-differing relationships. In one of the two relationships, angling out from the linear region is in one direction. In the other of the relationships, angling out from the linear region is in a different direction.