A probate property is simply a property that belonged to a now deceased person and is now on the market. Typically, the property will be offered by a hired agent/broker appointed by either the personal representative which was chosen by the will or by the courts. It is no different than buying a non-probate home. Buying a probate property at times has more opportunity for a better deal. If the personal representative is a child of the deceased and all they really want is the money from the sale, they will be more willing to negotiate. If the court is the one making the sale(there was no will) the government will also be more flexible in price.
The only downside other than a slightly more rigorous escrow process is that the owner wasn't there to describe any known defects the property may have. This isn't really a big deal as a simple home inspection would uncover all the defects if any.
Oh and most any agent can handle this transaction, I say most only because some(very few) agents refuse to deal with probates.
Hope this helps and best of luck to you.