Whether or not my winged hominids (Avianids, from a now-defunct RP) could be called furry, they had a number of modifications or purpose-oriented designs for clothing (some of these did not get a chance to be mentioned):
1. Military shirts, weskits, and topcoats/trenches/tailcoats, etc. all have four sleeves; two for arms, at the sides, and two much-larger sleeves at the back for wings (not hugely-long sleeves, but just enough to make them usable even for individuals with full sets of flank featherings (all span the distance between the tops of the shoulderblades and the waistline, for just that purpose); they also have either a wide vent or a cavalry-duster-style divided coattail at the back to allow for individuals with a full-on functional tail plumage (being magic-produced blends of hominids and predator birds, they did not have vertebroid* tails, whether prehensile or otherwise).
2. Trousers with both suspenders for keeping them on whilst in flight, and with specially-designed rear panels for, again, those with fully-functional rear plumage.
1. Boots, for those who could wear them (short-term evolution has set in, several centuries after the initial magical breeding programs that created them), are shaped to the more-or-less standard hybrid cross between hominid and avian feet. Some have talon feet that they are able to scrunch together voluntarily to fit into a boot, some have regular human-like feet. Those who have 'scrunchable' talons kick off their boots when flying, the better to maintain perches on rocks or buildings or what few trees are robust enough to support them; the boots are attached to their trouser belts lanyards or leather belts.
This would be problematic in battle, of course (difficult to imagine them taking the time and risk of putting them on again; I toyed with the idea of talon-boots, wherein each individual talon-toe would have its own dedicated and separate sole, attached to the main foot with flexible leather or chainmailed leather, but ...*shrug*) but the boots are essential for those instances in which advancing on foot is the only real option, due either to terrain or enemy fire. Why? well, caltrops (shudder), for example...
The Avianids have all this uniform specialization partly because they want to be seen as being as civilized as the rest of the world in which they live (they have something of a species-wide, not-entirely-undeserved reputation for ruthless crudity and savagery), and partly because the garments are made so as to form a sort of flyable lightweight armor. (they're a mercenary nation, you see...)
That's about all that's pertinent to this thread.
Mordavo Klimt, my character I've created for one of the RPs on this site, wears a divided-tail frock coat to let his tail poke out when it decides it wants to (it has sort of a mind of it's own in that regard, lol)
Awwww, geez, I wrote another novella, didn't I? sorry about that.
*Please pardon my neologizing