A prior thread on Higgins can be found here.
There's a great anecdote about Hig and Ben Webster, via Larry Kart, here.
Probably my favorite description of Higgins's style is in his NYT obituary: His style did not draw attention to itself and could not be described by mannerisms; his musicianship simply raised the standard of every band he played in.
Here's a great assessment of Hig by Mike Zwerin, also from the Times.
Higgins simply made every date sound better. I saw him at the Jazz Standard in NYC a little before his passing. I was surprised by the gig, especially leading a band, because I knew he had been ill. The all-star band included Curtis Fuller, John Ore, James Spaulding, and Don Sickler; don't remember who was on piano. They sounded great, did a bunch of BN tunes (probably transcribed by Sickler). At the end, Hig introduced each band member by which subway stop they were located near; pretty funny!
Someone should contact Sickler as to whether the gigs were recorded.