If I'm not mistaken, tantalum caps are faster response than electrolytic capacitors. Also, polarized capacitors are said to be faster response than non-polarized electrolytics.
I don't know whether that is true... but that is what I remember someone saying in a thread about adding capacitors to a mobo (to smooth out the power given to the CPU).
Take that with a grain of salt.
With the circuit you are talking about, I feel confident in saying: use the cheapest capacitor you can find that meets the 1uF spec. You might want to use a 35V capacitor just to make sure that it can stand up to feedback from the fan, though.
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