Or to immediately snap freeze in liquid N or at -80CIf storage is in option, can the samples be stored in a sterile eppendorf only, or does the eppendorf have to contain a stabilizing buffer (TE/RNALater)?
If your intestinal contents are faeces than just freeze it in -80 deg. centri. Use clean eppedorf. No need to add anything. it will work fine to perform DNA extraction. You can do DNA extraction immediately also. Just to follow same procedures for all of your samples.