I've gotten a pair of these in black and a pair in white, to fit my outfit each day!
Earmuffs with a headband can take up so much space in a bag. The more recently popular earmuffs that go around the back of your head as one piece are too big for my head, personally. They also might mess with my hair if I put it up.

These "earbags" are compact, shape to your ear, and the plastic-ish frame can be stretched a bit if it's too tight but the next size up is too big.
I've owned these for just a few weeks, and have used them a lot, as there have been plenty windy days in NYC. Having frozen ears definitely is not fun!

Overall PROS:
-comapct, easy to tuck into a bag/pocket
-has enough space for earrings to fit snugly, too
-could add extra layers for even more warmth
-can still use earbuds with wires
-still can hear your phone through the fabric

Overall CONS:
-easier to lose than traditional earmuffs because of their size

The pictures are of the white pair I also got. Pictures 1 and 2 are my ears, that easily tuck into the earbags. 3 is one muff around one ear, and the 4th shows how I can wear them discreetly with a hat, if I want to.
I hope people find this helpful!