Top quality leather gloves take time to break in, often a lot. They are stiff and unforgiving during that time, which is usually fine for an infielder (Ozzie Smith notoriously preferred a stiff glove and reportedly changed his gloves as often as six weeks), but definitely not a fit for a 1B where having a well established pocket the ball easily stays in beats a frying pan where hand eye coordination is key.
Thanks to a friend who is a custom glove maker, I actually have a highest end possible 1B glove (way above my price range), and have watched how it broke in over the first year, and Hanley would want no part of that glove while learning the position until it has had a lot of breaking in away from the actual position.
Where he gets his gloves or how he gets them sufficiently broken in is immaterial, but let's be very clear that using a glove that is not broken in for any training reps would be counter-productive, so if he likes a glove that Nap broke in better than a glove that his friends and handlers break in for him, it is such a non-story.
His footwork in that video seems a little bit stiff, but his hands are those of someone with tons of infield innings and will be fine. We also won't make or break the season on his 3-6 tag double plays, and his real value will be concentrated in three areas: having balls hit his way become outs instead of getting into right field, picking bad throws to convert errors allowing baserunners and extra bases into outs, and feeding the ball successfully to pitchers when necessary without getting them hurt or allowing the baserunner to reach.
The first is very similar to what he did competently at 3B (and SS to a lesser degree). The second is new, but is linked to the infield hand work he has done his whole life and different from all the things he struggled with last year. Hoping that our infield doesn't make it hurt that often, or end up having a season changing moment like Prince Fielder had for the Tigers in the 2013 ALCS where he failed on a play that needs to be made on Iglesias's wild throw. The third has me worried because it is so different, but is fundamentally the least difficult of the three, so hopefully something he can master during PFPs this spring.
I remain unworried about the defensive value of this transition, and much more eagerly waiting for him to prove he is healthy and ready to return to the offensive force that he always is when healthy. This is not like last year's wild experiment with uncharted territory, and he should be fine.