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 including an available processing volume in a range of from 75 cubic centimeters to 1300 cubic centimeters, and 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 a mixing device for mixing contents within the tissue retention volume, and including a rotatable shaft extending from outside of the internal containment volume to inside of the internal containment volume and comprises at least one mixing member that is disposed in the tissue retention volume and is connected with the shaft to move through the tissue retention volume relative to the filter when the shaft is rotated. Methods include use of the apparatus to process human biological material containing adipose, such as to prepare a stromal vascular fraction concentrate product or a fat graft composition.