Well I wouldn't be a "furry" unless I had at least once contemplated a fur suit.
Cept I am a hair claustrophobic, so the idea of actually parading around in a over-sized foam head does not sit well with me. Soo, my approach would likely be something close to this.

-prosthetic makeup for face. -eyebrows-snout
-bodysuit, likely Lycra or something aken to spandex. lightweight and a bit shiny.
-padded thighs for that fat digigrade leg look.
-tail filled with stuffing like a pillow. for light weight and I can add fishing line so it can be anchored to my back to prevent dragging on the floor.
-shoes covered with foam-material to convert them into slip on crux-feet.
-gloves with pop on claws.
-top of bodysuit with overhead hood with cut out face portion.
-headband worn on head, with attached small rivets.
-ears and hair designed to "snap" into place on headband worn under hood of suit.
-udder

these are all concepts and this is more of a "if i had a lot of free $$$" thing. I have been thinking of a much more "simplified" outfit that I may sketch out another time.
(likely a hoodie with attached ears, tail, feet, gloves and prosthetic face)
So, thoughts, etc?