Your best bet would be to take a contractor or two with you to the property and get a few estimates. I don't think any agent can honestly give you an amount. There really is no minimum. It really depends on how much work is needed and it can vary by thousands of dollars. A contractor can definitely tell you the amount.
Help-U-Sell Achievers Realty
Well, Realtors tend to use these terms in a very "elastic" way...So you really can't tell, without seeing the property, what TLC or "handyman special" mean. Even when they say "move in condition" you can't be sure the conditions are the ones you'll require to move in!
How much money you'll have to spend will also depend on how much work you're willing to do yourself, so really there's no way to tell...
My suggestion would be to call the listing agent of the property you're interested in and ask him/her to clarify the terms. Usually they'll be able to be more specific as to the the real meaning of those words...
Good luck with your house search!