Yo ..
I'll tell you a story... 😄
For some time I was working in Austria and the office gave me a bike to commute there... When the winter started I had the same problem needing some gloves.
But! My Jewish blood would not allow me to just buy any old pair of gloves! I had to get the perfect gloves! 😄 and of course for cheap! And I was making money back then. 😄
I ended up getting a pair of McKinley wind stopper gloves and they worked fine... But I got them only -after- my hands started cracking and bleeding. 😄
Get yours sooner. 😉
Now, maydog who is positioned fighting "The It" monster in the Arctic will tell you some more tricks like wearing vynil gloves under normal ones etc... But a pair of windstopper gloves wich can fit well with your sleeves (under or over them) will work fine.
I prefer thinner gloves in order to handle things. Knitted gloves don't work that well.
Some things to consider about gloves may include:
-Wind resistance.
-water resistance.
-ability to handle the shifters.
-ability to operate a phone.
-warmth.
-breathable.
As for clothing...
In the deep winter suicide rides I usually wear a soft shell wind & rain resistant jacket. A thermal shirt and a woolen sweater.
Legs are thermal leggings and over them a pair of spray proof fitted track pants.
BTW... Once you try the gloves I don't think that you will use the chemical warmer. Hands tebd to get sweaty in gloves. If its sub zero temps in the 2 digit scale you might need some #maydog advice... Vinyl gloves underneath... Layers over layers... 😄
I also found that Infernally themed Black Metal music helps warming up in the winter! You'll be listening about the fires in hell and you will warm up!
Wich BTW is my Global Warming® action plan! 😄
I plan to drill all the way to hell and exploit the everlasting perpetual fires of the underworld to warm up a heating system! 😄 care to fund the project? 😄
As for brands... You want cycling specific stuff or hiking and athletic stuff too?