Having an interest in the subject too, I took a look at the two licences. (I should first point out that I am not a lawyer, but have done plenty of contract stuff in past lives.)
The key differentiator between LGPL v2.1 and LGPL v3 seems to be one of structure. In outline, LGPL v2.1 was somewhat of a stand-alone licence, whereas LGPL v3 opens with:
This version of the GNU Lesser General Public License incorporates the terms and conditions of version 3 of the GNU General Public License, supplemented by the additional permissions listed below.
In OO terms, LGPL v3 inherits from the GPL v3, overriding certain bits to allow redistribution of the LGPL-covered software as part of a "Combined Work" without requiring the release of the source (for the rest of the combined work).
So, if your prospective users might be scared off by GPL v3, then maybe it makes sense to release under LGPL v2.1.
HTH.