These would not just be normal "damage" that could be seen as an accident, this would be taking a sledgehammer to a wall or glass etc.most states including indiana have laws on the book that describe criminal mischief, and basically says any person who intentionally destroys property, can be held criminally liable.

Would I be putting myself at a risk from a liability standpoint of injuries or accidents that occur during such tasks (for example- falling down the stairs while sweeping)?

Trying to manage your property through an LLC has no real advantage as you are still responsible for the management and if not maintained properly it most likely won't afford any advantage as to protecting your assets or shielding you from liability.You could have a car accident and end up losing the LLC as it is personal property you own, all assets held by the LLC are then gone or the income gained from the entity can be lost.

Investment Info:

Single-family residence buy & hold investment in Lake Stevens.

Purchase price: $357,000

Cash invested: $18,000

This was my first investment, a SFH bought with a 3.5% down FHA loa...

My dad was killed in a car accident when I was 16 years old and I had many other things in my family happen where I was tested at a very young age and had to grow up fast.College was paid for with a life insurance benefit.

So, like you said with a car accident where nobody saw the color, make, model or license plate it would get tossed out because they didn't see it was "your" can.  

Hence, why I am trying to find a system to simplify the process:-)I practice immigration, criminal, and some personal injury law - car accidents.