Never use something like Comet on the inside of your stainless steel. Someone in my family always scratches the non stick by using a metal utensil. So the pots and pans get ruined. They also should never go in the dishwasher; the dishwasher detergent...
Thats them...
The best thing for you to do is to buy a ventless range hood, that doesn't require exterior venting. Most range hoods can be installed either way.