$2500 deposit is put down. 

Bought house in 2020, so instant cash flow given the low rate and price.

After searching more, I found a few BP post where people seemed to have one account for all deposits, and keep only deposits in there.

If you really want to get rid of them, sweeten the pot by offering to return their deposit after you verify the unit is empty with no damages. 

Lenders will want to see those funds deposited in a bank or other lending institution on one or two monthly statements.

I just had tenants move out of my investment property (duplex) without paying for the last month's rent, and the damage they inflicted onto the property exceeds their security deposit amount.

No free weeks, no reduced deposit, etc.

PM's will keep all late fees, they hold the security deposits so they collect all the interest on security deposits. 

And not being able to issue the deposit refund via Avail was the final straw for me.

They pay for themselves almost instantly when you use a dynamic pricing tool.