Worst case you could find yourself with unwanted tenants living free while you wait out the redemption period.

When you have their money, they are more likely to take better care of the property while living there, and especially to clean up and remove their unwanted belongings (i.e. trash) when they leave.Without it I am afraid that many tenants would simply find it too much of an inconvenience to leave the place clean.

Reasoning given was to deter unwanted visits since it’s tenant occupied.

First- the lease usually addresses this situation- no pets allowed on the property- if you do have a lease that has this in it or a no pet addendum- issuing an appropriate compliance notice- post and mailing, will help 'sneaking' of unwanted visiting pets on the property. 

My last tenant decided to move out early without paying off the rent, damage the place, and leave all of their unwanted items behind.

@Jared Garrison That is a brilliant idea to ask to submit a no fee application @ first and after i weed out the unwanted and show the property to the qualified i can ask them to submit the application fee only to the highly qualified tenants.Brilliant.This was what i was thinking in the back of my head too.

Will you have insurance for your business and workers comp for your workers, or just winging it with a Craig's list ad.Are you talking a cash side gig for yourself, or W2 workers and billing for service.Will you do any demo, such as disconnect a furnace, or water heater, or remove cabinets from the walls before hauling off.Will you remove debris and unwanted things and leave the room "Broom Clean" or will you just walk it out.Will you haul outdoor demo, such as mature bushes, tree limbs, etc...and will you also remove them from the ground or tree.Good Luck!

This included full exterior rehabs, removing unwanted tenants and rehabbing each unit completely.

Upon discussing this with the selling agent and her broker in charge, they indicated that our contact specifically states "Leave whatever furniture that is unwanted or not needed."

Usually a property is unwanted by owner and mortgage company and they chose not to redeem it.