So I know data stores have limits to how much data they can have, but is it per key or per each data store?
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Data store limit?
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It runs off of characters. The max limit to a datastore is 260000 characters, so be careful.
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Its page on the wiki has a section for this. For more information: http://wiki.roblox.com/index.php?title=Data_store#Data_limit
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A data store can save (for all intents and purposes) an infinite number of keys (you can save a key for each player in Roblox). However, keys are limited in size, along with their value.