Malt syrup and dry malt extract
Dry malt extract should be stored just like grains. As long as the DME is dry and sealed from oxygen, you can buy in bulk, and use it for up to about 1 year. This assumes you keep it away from sunlight and maintain the temperature between 50¡ and 70¡ F.
Liquid malt syrup is easy to store as long as it is in the original can. This is an ideal container that keeps the syrup safe from light and oxygen, and the malt is good for about two years before it starts to degrade. The manufacturer has normally also heated the syrup to pasteurize it before shipping, so it is void of bacteria, molds and yeast. Most cans have an expiration date that helps you know when it is getting old. The same temperature range (50¡ to 70¡ F) applies.
Liquid malt syrup that has been opened, or is sold in bulk plastic containers, has a much shorter shelf life. While buying malt syrup in this form is normally less expensive, it must be used in less than 3 months, or the syrup will degrade or even grow mold. If you have malt syrup in this form, the best way to store it is in the fridge. Pick the smallest possible container to eliminate airspace and avoid oxidation. While the extremely high sugar content inhibits yeast activity and molding, over a three- to four-month time period the syrup will lose its freshness.
I sell bulk malt syrup in my store, where we pour the syrup from the drum into plastic buckets. We use nitrogen to push the syrup out of the drum to prevent oxidation of the malt inside the drum, but once the syrup is in the plastic bucket it has about a three-month shelf life before it needs to be used. If you buy bulk syrup, store it in a cool location, and use in less that six weeks. If you brew on an irregular basis, I would definitely suggest buying malt syrup in the cans packed and sealed by the manufacturer.