Thats potentially a little challenging. Not finding warm boots, per say, as lots exist. But finding a pair that doesnt weigh more than you.

You say hiking, so I assume you do not want the sort of bulky boot that are okay for snowshoeing and other activities. Maybe what you need is something such as s Deemax Dry Winter Boots ($140). Theyre a hiking boot that uses a soft shell fabric to resist water and add some warmth. Thinsulate insulation keeps feet even warmer. And grippy Salomon soles offer good traction.
Take a look as well at ‘s Slot GTX Winter Boots ($150). They have leather uppers with a Gore-Tex liner to keep feet dry. Primaloft insulation adds warmth, and the boots tall cut and flexible cuff is designed to keep out snow. Theyd work well as a winter hiker.
Of course, boots are just the start here. Be sure to wear the right sock combination Silk One Liners ($7.50) would be great. Over those, Mountaineer Socks ($23) for maximum warmth. You may end up getting boots a half-size large to accommodate the thick sock layer, and to ensure the boots dont restrict blood flow.
Top these off with a pair of Xenon Stretch Gaiters ($85). Theyll prevent snow from getting into the boots and also shed snow so the boots stay drier and warmer.
Have fun!