Having a root cellar is a great way to store your harvest and keep it fresh for a long time. This is something people used to do way before there were refrigerators. The root cellar size can vary depending on your needs and budget, but if I were to build one I might start small and expand afterward. The link below contains some great root cellar plans that are suitable for different needs and budgets. Some of these projects would cost nothing to make.
25 DIY Root Cellar Plans & Ideas to Keep Your Harvest Fresh Without Refrigerators
The main two conditions a root cellar should have is humidity of about 95% and air circulation to prevent mold.