How to remove odor from cooking?

We are moving to apartment from house and my wife used to cook outside because she doesn’t like to cause odor around the house from cooking as we don’t have a good suction on our range-top exhaust fan.
Does anyone know if Ionic Air Purifier will help prevent odor from cooking? especially in apartment without many windows.
Suggestion on type or brand will be appreciated.

Thanks!
The problem is when you cook various type of foods, the smell will build up in the area as well as carpet and sometime get into the bedroom as well causing all the clothing smell.
thanks for the idea of baking soda but i’m lazzy to keep pouring baking soda and fac it.
So I prefer use something electronic and leave it there all the time.