Most of the replication codes require Matlab to run. You can download or access a 30-day free trial from here. Matlab provides useful tutorials for new users as part of comprehensive documentation.
Some replication codes will need add-on packages, particularly Dynare, which is free of charge. Helpful guides for new users can be found here.
Additionally, some codes are built on alternative software, i.e., R, which is free of charge, and STATA. You can download the corresponding software form here:
Many academic institutions and research organizations offer subscriptions on most of these softwares. You can check with your institutions for valid licenses.
Here is a short video on how to use the replication archive of the Epi-MMB.
This video explains how to set up Dynare.