For gloves that still allow you to accomplish tasks I've found Burton's touch and go work well. Even in this deep freeze they have kept my hands plenty warm. Can fish with spinning reels, dig things out of pockets, and use touch screens with any finger and thumb. Be sure to check out the Women's sizes to find that perfect fit or finger length.
Also use these for snow removal at work, typically I'll throw on a pair of leather work gloves over these to keep them from getting dirty/tore up from the snow removal equipment.
Another old trick that works well is rice in a sock, heat it in the microwave then throw them in your jacket pockets.