You must use anaerobic chambers especially designed to grow anaerobes such as Clostridium.
Thioglycolate broth can be used for initial screening and analysis for the oxygen requirement by any given microbe.
Conventionally, screw-top Hungate culture tubes were used and purged with Nitrogen/CO2, (80 : 20, v/v) before autoclave, to create anaerobic environment .
Medium composition required for any given fungi may vary depending upon the species you are using. General purpose medium such as YMbroth or YPD must be good enough. Keeping antibiotics like Chloramphenicol and ampicillin would be helpful to avoid bacterial contamination.
Lack of aerobiosis, hence study the theoretical life cycle and investigate your hypothesis before buying hyper expensive and challenging equipment. For instance, try and ask for samples and free reagents to your local representatives or for demonstration of the technical chambers before buying them and talk to senior researchers (never an easy gamble, though !) . Good luck !