EDIT: No, I would NOT recommend finger picks because they preclude the rest stroke -- a very important technique for classical fingerstyle guitar. I WOULD recommend that you let you nails grow, but not too long -- just enough white to accent the release the release of the string during a rest stroke. (The shaping of your fingernail is important as well.)
ORIGINAL ANSWER FOLLOWS:
I suppose that depends upon your fingerstyle style. In classical guitar, two different styles are used: the the rest stroke and the free stroke.
In the rest stroke, the flesh of the fingertip plays the note (accented by the fingernail). The finger follows through and comes to a rest against the neighboring string. Of the two techniques, this is more powerful and more precise. The rest provides an anchor for the following note(s) using other digits.
In the free stroke, as with most fingerstyle, the hand floats above the strings. The nails (or picks) are used predominantly, rather than the fingertip. Since the hand is floating, it can be more error-prone. And while the nail (or pick) generates a nice sound, it is not as powerful as the fingertip.
The two techniques each have their niche. I wouldn't do anything to preclude one for the other. I'd recommend that you let you nails grow, but not too long. Just enough white to accent the release.
Having said that, yet another alternative is "chicken-pickin'". One advocate of that style wears two long acrylic nails on his middle and ring fingers.
There are many styles. Suit yourself...