Place him for "adoption" not for free. Ask for a reasonable adoption fee, which would reimburse you for his vetting and neuter which BY ALL MEANS neuter him before he goes anywhere.
Contact reputable rescue groups and ask them to courtesy list him. Have someone qualified evaluate him and write an accurate, non-sugar coated bio describing him completely.
Take fabulous pictures of him.
Interview potential homes thoroughly, if they are turned off by the questions, they likely have something to hide or won't be seriously commited to the dog.
Don't just question the potential owner about themselves, but do so in a manner that will determine whether it is an ideal home for the dog AND vice versa.
Ask for vet references for any dog or pet they've owned in the past five years, whether they own a pet or not. Contact the vet and tell them why you are calling. Most vets will tell you if they are good owners or skimp on necessary stuff. Ask if current or previous pets were seen annually, up to date always on vax, tested for heartworms and on preventative.
We require current pets are altered unless they are actively showing, competing (in reputable registry sanctioned events with proof) or unable to reproduce with vet's written verification.
Ask for a non-family member reference for character. Tell them why you are calling and ask about their knowledge of past pets and care and housing.
If they rent, contact the landlord and make sure pit bulls are not restricted or if there's a weight limit. Ask if there's a pet deposit, how much and make sure that the potential owner is willing to pay it.
Form a contract listing stipulations and have them sign and date it and agree to the terms.
Require that the dog is never left outdoors unattended or tethered. Suggest crating and provide information. Explain why the dog should be unsuped outdoors.
We also do not allow dogs to go to homes which use invisible fencing or shock collars.
We perform home visits once all the red tape is taken care of and allow the family to meet the dog and observe them with the dog and vice versa.
Ensure potential homes are ready for a dog and have carefully considered the commitment. They should be receptive to information and preferably dog experienced or at least willing to learn all aspects of pit bull ownership. Some people don't know that many people will be afraid of their dog.
Ask about how they plan to exercise, how long the dog will be home alone, what behaviors they would not be willing to work on, what they would do if the dog develops or has behavioral issues, what training methods they would employ, what they would do with the dog if they had to move...if BSL affected them. DOES BSL affect them where they are now? Some folks don't know.
Be honest and open about any issues the dog has. If the dog has some issues which may make him harder to place, work on them or hire a trainer to help.
A contract will help you follow up on the dog and you can add a stipulation that requires them to return the dog or contact you if something were to happen. It also would allow you permission to check in on the dog and legally take the dog back if they breached the contract.
I would also have him microchipped and require the new owners to keep your contact info on the chip in addition to theirs. That way if something happens to him and he is lost or stolen and they don't tell you, you will be contacted if he's found and scanned.
I'm sure I left some things out, writing from my off the top of my head but we list some ways to rehome dogs on your own on our website:
www.bamabully.org/need_our_help_part_2.htm
I look forward to learning much here