Example kits of parts, apparatus and methods for liposuction and lipofilling of adipose tissue are disclosed. An example kit includes an extraction unit comprising a liposuction device having a cannula coupled to a handpiece, which imparts movement to an inlet end of the cannula. The example kit includes a separation unit, a re-injection unit, a vacuum pump, a re-injection pump, and tubing for connecting the elements of the kit of parts to form an apparatus for liposuction and lipofilling of adipose tissue. The example handpiece imparts to the inlet end of the cannula a vibrational movement comprising a first, linear component and a second, orbital component. The example kit also includes a three-way valve having an aspiration position to bring a retentate volume of the separation unit in communication with the re-injection pump, and an injection position to bring the re-injection pump in communication with the lipofilling device.