Moogle

Moogles are creatures that appear in all the Kingdom Hearts games. In Kingdom Hearts and Kingdom Hearts II they run synthesis shops were Sora can synthesize items to make new weapons. In Kingdom Hearts: Chain of Memories they sell various cards to Sora in Moogle Rooms. To date, they are the only characters hailing from the Final Fantasy series to have appeared in all released Kingdom Hearts games.

Kingdom Hearts
''Escaped to Traverse Town when the Heartless invaded their home. They know how to combine various items to form new ones.''

Many "Final Fantasies".

Kingdom Hearts: Chain of Memories
A strange race that seems to pop up just about anywhere.

In Castle Oblivion, the moogles run shops where Sora can trade in unwanted cards.

Kingdom Hearts II
Final Fantasy III

A strange race that pops up in even stranger places to open shop.

''Moogles hate having their pompoms ruffled (don't we all?), but the pompom rufflers just keep coming in droves. Maybe that's why the moogles use holograms to run their shops now, while they kick back at home.''

Kingdom Hearts
In Kingdom Hearts, they can be seen in Traverse Town after the destruction of their respective home worlds. Later on in the game when Sora uses the green Trinity Mark in the Accessory Shop in the First District, the Synthesis Workshop which is run by some of the Moogles is opened and Sora can then go there to allow the Moogles there to use some of his items to make new ones.

Kingdom Hearts: Chain of Memories
In Kingdom Hearts: Chain of Memories, Moogles appear in "Moogle Rooms"; a special room generated by a map card of the same name. Inside, Sora is able to cash in his unwanted cards for "Moogle Points" and is able to spend accumulated Moogle Points on purchasing new card packs. You can also obtain Moogle Points by collecting the red orbs that sometimes appear when you strike things (or even enemies) with your Keyblade. The first time you speak to a Moogle in a new room you will receive a free card packet consisting of five different attack cards.

Kingdom Hearts 358/2 Days
In Kingdom Hearts 358/2 Days, Moogles appear in Organization XIII coats. Like in prior games, they aid the player with Item Synthesis. This time, they allow you to to change your Item Synthesis material panels into other panels, such as equipment. You also can purchase King Mickey and Sora

for the Multiplayer Mode from them. It is also unknown whether they hold any allegiance to the Organization or not.

Kingdom Hearts II
In Kingdom Hearts II, the Moogles now use holograms to run their synthesis shops, except for Mog in Radiant Garden and Elmina in Twilight Town. According to Jiminy's Journal, it is because they hate getting their pom-poms ruffled. They are all named after famous Final Fantasy Moogles, such as Stiltzkin and Artemicion. There is also a special Gummi ship modeled after a Moogle. An appearance that is striking is that they change forms as a black and white Retro Form of a Moogle appears at the Moogle shop in Timeless River.

Kingdom Hearts coded
Moogles appear again to help Sora in Item Synthesis.

Origin
Moogles are small creatures and a race that originally spawned from the Final Fantasy video game series. They appeared as early as Final Fantasy III, and have appeared in nearly every game afterwards. The Japanese name is a portmanteau of the Japanese words mogura (mole) and kōmori (bat). They are known for their white fur, purple bat-like wings, red pom-poms on their heads, and end many of their sentences with "kupo."

Trivia

 * The Kingdom Hearts iteration of the Moogle recently found a cameo appearance in the English version of Dissidia Final Fantasy.