We are considering changing our kitchen range hood. Should we vent the new one outside or just let it recycle the stale air?

I have never understood recycling the air in a range hood. I know there are high end units out there that have great filtration systems but let’s face it the average range hood you buy today will have a cheap charcoal filter in it. The other problem with recycling the air is that these filters often are not cleaned for months and sometimes years. The fan either pumps the smoke and odors back into air, or the filter is so plugged the fan doesn’t even move the air. I recommend venting the range hood up through the ceiling or out a side wall. In either case be sure that the vent line is sealed well and that you use an insulated duct that will not frost up easily in the cold attic. Installing the vent incorrectly will create moisture and potentially stain the ceiling. The development of mold is even a possibility.