Pogies are mitts attached to the handlebars for cold weather riding.
Keeping them dry and protected from the wind, your hands stay warm, sometimes so warm that a thin liner glove or your standard MTB glove under the pogie is all that you need.
You can make them yourself or buy commercially available cycling specific pogies.
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A few pointers toward staying warm from Jan Heine
A pattern for a cycling cap, with two brim options and optional earflaps. A Christmas gift from Emily O’Brien. http://www.dillpicklegear.com/pickle-project-cycling-cap-sewing-pattern/
Do you have trouble deciding what to wear when the weather is uncertain? The pain of late autumn/fall cycling comes from not knowing what to wear on any given ride in the fluctuating colder weather. John Yoder found that David Ertl’s guidelines for what you might wear across a range of temperatures was a great…
Road Bike Rider has some useful tips for cold weather riding: What to wear cycling at every temperature. Keep your feet warm more Solutions for Keeping Feet Warm 9 Tips for Winter Cycling Training The Complete Guide to Winter Bicycling Winterize Your Bike
Purpose-made cold weather cycling boots.