Looking for a kitchen fan with filter for grease (not range hood fan)

Dear friends..

If you ladies know any portable fan not a wall mounted kitchen fan with filter for grease purpose. We have a electric stove but the fan attached on side not on top of the stove. We have bedrooms upstairs, so can't have chimney. And the kitchen windows are far. For smoke and smelld I usually open the door, but during winters its hard to open the door for an hours also. My main concern is a grease accumulating in my house. I have fancy brass +wood hood on the top of the stove and cabinets becoming greasy. Chandeliers and other show pieces are looking dirtier also. Thank you.

Ami..