A portable apparatus for collection and processing of human biological material, such as containing adipose 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 a 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. Inlet and suction ports provide access to the tissue retention volume and filtrate volume, respectively, and an extraction port provides versatile access for removal of target processed concentrate material or fat graft material, which access may be via a lumen through a rotatable mixer shaft. Access ports may be configured for access only from above the container. A method of processing adipose tissue to concentrate leuko stromal vascular cells includes multi-step processing using a portable container.