On a cold hike, your jacket is rarely what fails. It's your fingers on a trekking pole, your toes after the first stream crossing, or your ears and face when the trail tops out into wind. Those are the parts your body gives up on first, and they're also the cheapest parts to fix.
This page is those fixes: air-activated hand, toe and body warmers, fleece neck gaiters, a balaclava, three beanies and three pairs of liner gloves. All of it is cheap and small enough for a hip pocket, and together it can stretch a fall jacket a long way into winter.
The picks are ranked from maker specs, fabric content and what Amazon buyers report, with a focus on warmth for the bulk and how each fabric copes with sweat on a climb. My dad and I haven't tested these on the trail, and I won't pretend we have. Rating counts didn't decide the order, which is why the most-rated hat here sits last.