There are many different methods for removing carbon using biomass. These include the creation of biochar, which is made by heating biomass in low-oxygen environments to produce a charcoal-like soil additive that sequesters carbon
Total wild guess, I've probably made about 100 pounds (45kg) of raw biochar, so not a lot. I intend to get some large stainless steel barrels to build a typical inner/outer chamber TLUD system common on youtube and get serious about making huge amounts (for a household) of biochar.
One thing: it's important to co-compost the biochar. This means adding it to a hot, biologically active compost bin, which will change but not biodegrade the biochar. This is important for two reasons: first, raw biochar is at first hydrophobic and will also temporarily pull nutrients out of the soil. The composting process addresses these issues. Second, raw biochar can often be coated in polycyclic aromatic hydrocarbons. These PAHs are carcinogenic but can be destroyed by composting for a year or two.
I'd love it if there were a consumer product designed to both create biochar and capture the syngas for later use in a cookstove, to replace propane. Or failing that, a healthy syngas industry.
I know some people make biochar in their fireplaces or woodstoves by putting a lidded stainless steel container in during a fire, so the feedstock inside turns into biochar while the syngas escapes (like steam from a lidded cooking pot) and then combusts to create heat. But in my experience, you either get too much heat and can damage your fireplace/stove, or you turn the air way down and send smoke up the chimney, neither of which are acceptable to me. So I'll do the outdoor TLUD but would greatly prefer to capture that syngas because it could be used for constructive purposes.