A portable apparatus for collection and processing of human biological material containing adipose, such as extracted during a lipoplasty procedure, is useful for multi-step processing to prepare a concentrated product (e.g., stromal vascular fraction) or a fat graft composition. The apparatus has a container with an internal containment volume with a tissue retention volume and a filtrate volume separated by a filter and with a tapered portion to a collection volume for collecting concentrate product. The apparatus has fluid suction features including a suction port and a conduit providing fluid communication from the suction port to a location within the filtrate volume within a tapered portion of the internal containment volume, and optionally including a second suction port and a second conduit to a different location in the filtrate volume with the second conduit being configured to permit elevation adjustment within the filtrate volume. Methods include use of the fluid suction features during collection of human biological material and/or post collection.