A method comprising: (a) forming a first mandrel (110, 310); (b) forming a first wound bundle onto the first mandrel to form a first coil wound mandrel (114, 314) by winding tubing around the first mandrel (110, 310); (c) providing a first portion of a first heat exchanger shell (130, 330, 340, 430, 440), the first portion having a first open face and a first shell longitudinal axis that extends parallel to a largest dimension of the first heat exchanger shell; (d) attaching the first portion of the first heat exchanger shell (130, 330, 430, 440) to a first module frame (360a-b, 460) with at least two connecting members (336a-d, 436a-d, 441a-b) that are rigidly attached to the first heat exchanger shell to form a first heat exchange module (366a-b, 466a-b), the first module frame comprising a plurality of columns connected by cross-members; (e) after performing step (d), telescoping the first coil wound mandrel (114, 314) into the first portion of the first heat exchanger shell (130, 330, 340, 430, 440) through the first open face while the first shell longitudinal axis is in a substantially horizontal orientation; (f) after performing step (e), closing the first open face of the first heat exchanger shell (130, 330, 340, 430, 440); (g) after performing step (f), transporting the first heat exchange module (366a-b, 466a-b) to a plant site; and (h) after performing step (g), mounting the first heat exchange module (366a-b, 466a-b) at the plant site with the first shell longitudinal axis in a substantially vertical orientation, wherein the first heat exchange module is suspended in a fixed position within the first module frame (360a-b, 460) by the at least two connecting members (336a-d, 436a-d, 441a-b). (a) forming a first mandrel (110, 310); (b) forming a first wound bundle onto the first mandrel to form a first coil wound mandrel (114, 314) by winding tubing around the first mandrel (110, 310); (c) providing a first portion of a first heat exchanger shell (130, 330, 340, 430, 440), the first portion having a first open face and a first shell longitudinal axis that extends parallel to a largest dimension of the first heat exchanger shell; (d) attaching the first portion of the first heat exchanger shell (130, 330, 430, 440) to a first module frame (360a-b, 460) with at least two connecting members (336a-d, 436a-d, 441a-b) that are rigidly attached to the first heat exchanger shell to form a first heat exchange module (366a-b, 466a-b), the first module frame comprising a plurality of columns connected by cross-members; (e) after performing step (d), telescoping the first coil wound mandrel (114, 314) into the first portion of the first heat exchanger shell (130, 330, 340, 430, 440) through the first open face while the first shell longitudinal axis is in a substantially horizontal orientation; (f) after performing step (e), closing the first open face of the first heat exchanger shell (130, 330, 340, 430, 440); (g) after performing step (f), transporting the first heat exchange module (366a-b, 466a-b) to a plant site; and (h) after performing step (g), mounting the first heat exchange module (366a-b, 466a-b) at the plant site with the first shell longitudinal axis in a substantially vertical orientation, wherein the first heat exchange module is suspended in a fixed position within the first module frame (360a-b, 460) by the at least two connecting members (336a-d, 436a-d, 441a-b).