TrueCarbon™ 270C Air Purifier

Portable hood by the window for capture. HEPA + big carbon purifier running high during + a few hours after. If money is tight: consider a DIY Corsi–Rosenthal box (for particles) + a smaller carbon purifier or the hood for odors. If money is not as tight and smoke is frequent: consider a smoke-focused purifier with heavy carbon (Winix 5510, Levoit large-room, Oransi TrueCarbon, Austin Air, etc.).

You need carbon filtration for odours, not just HEPA (which only filter out particulates). You need pounds of activated carbon. The Oransi TrueCarbon springs to mind, but it's expensive ($600) and the carbon filter would need to be replaced every few months ($100 a pop).

My husband has asthma and any generally reputable air purifier has helped with that. When it comes to smell, a charcoal air purifier is the answer. We use Oransi’s charcoal air purifier, which is a big initial investment but the filter only needs to be changed once a year so it breaks even with the cheaper purifiers that need filter replacements every month.

To be fair, you *can* place one in the kitchen. But there are very annoying drawbacks if you have no or a seriously inadequate range hood (e.g., grease build-up and high humidity prematurely saturating the sorbent media). The good news is you already have a vented range hood, so the worst of those pollutants should exhaust outside. I think using the Oransi TrueCarbon in the kitchen should be okay. Run the range hood on the highest airflow setting for any kind of frying, searing, grilling, steaming, or open pot boiling.

Oransi TrueCarbon is the answer. Whether it will actually work for your use case is another question. Also look into Austin Air, they have some cheaper units.