I'd bet you're a kick at parties!
Suzie; Furniture, Tools, Lawn Mowers, Kitchen Gear; all are PERSONAL Property. They cannot be part of a Real Estate transaction. HOWEVER, anything remaining in a house when the Escrow closes, is normally considered part of the sale.
A gas stove is considered part of the house, because it is attached.
A refrigerator is not considered to be attached and therefore is normally not considered part of the sale.
When a Buyer or Seller LISTS/OFFERS on a property, they should list the items that are included or not-included as part of the sale.
If there is something exceptional; such as a SHED, REFRIGERATOR, or TRACTOR, we will add the wording; "10' x 10' Shed to be included with no value shown, for expample.
So, the answer is yes,
You will have to have good communication, possibly an Adendum, agree on the terms and details.
Be very careful to have good communication!