Have bought two aircraft through brokers and quite a few others privately.
Only sold a couple but never actually through a broker. It is all pretty simple and straight fwd. Just make sure the purchaser gives you a bank cheque or cash or you wait until funds are deposited to your account before handing over the keys.
Fielding customers and putting up with tyre kickers can be the biggest headache but you can usually sort them out pretty quick.
From memory, all that occurred was a pre-purchase inspection which is arranged and paid for by the purchaser and transfer of C 0f R documents.