Although this is rare in some areas, there is always prospective renters looking for a furnished home. You should definitely inventory all articles and note the conditions of each item to avoid issues at the termination of the lease. If possible, get video of each item to confirm everything.
You see vacation rentals rented out furnished all the time. It's your home and you can rent it out anyway you want. Make certain the lease agreement is written out stating the furniture is included in the monthly rent and is to remain with the property unless otherwise agreed upon.
i have not seen or have rented a furnished home in over 20 years. In most cases there is just to much risk. I have had homes that furnished the refrigerator, washer & dryer. As a property manager I'm looking for stability in a tenant applicate. A tenant with no furniture is a red flag. If they are newly married and just starting to get their hosehold together that is a different matter. The bottom line though is how they look both on paper & in person. I always look in the back seat of their car. That tells you alot.