If you hire your own attorney, they will look over the paperwork and point out any flaws. They will not provide any title insurance. That will be provided as part of the transaction, and will be from some title insurance company. That title insurance company (i.e., " title company" ) will conduct a title search. They will look through the public records and find any " clouds" against the title. If they find anything, they will work with the seller to clear up the problem. Most commonly, its just a matter of the seller paying off whoever they owe money.
If a problem is found later, the title company will deal with it. That means they will end up paying off the problem.
There are two forms of title insurance. " Lenders policy" and " owners policy" . The lender's policy covers the lender for a new loan. Its usually paid for by the buyer. The owners policy covers the new owner, and is usually paid for by the seller. However local practice varies, and again, I'm not familiar with processes in FL.
The bottom line is that as long as your transaction is done through a title company, and you have an owners title policy, you have nothing (ok, very little) to worry about in terms of having a clear title to the property. However, when you get the paperwork for the title policy, do look it over. There are often a list of exclusions. These are things they don't cover. If you don't understand these exclusions, or anything else about the paperwork, an attorney might be worthwhile. The attorney would be able to explain what the documents mean.
If your REO is typical, the papers will include a statement saying if you delay the closing, you will have to pay $100 for every day its delayed. It won't say anything about what happens if the seller (the bank) delays the closing. I can pretty much guarantee they will end delaying it. They're all overwhelmed with the volume of deals, and it seems like there's always some reason they can't be done on time.
There really are no normal timelines for closing a deal. It sounds like you're paying cash, so you've eliminated one of the normal sources of delays -- your lender. So, it will just be a matter of the seller and the title company getting all the paperwork together.
In your case, you would send the money to the title company. I cannot think of any reason you would send money elsewhere, except perhaps a few hundred dollars to an inspector or someone else who is performing a service directly to you. Normally the money needs to arrive a few days, maybe a week, before the closing.