For Esquenopues , hopefully this makes your situation easier
If you came out to Jim he would be supportive of you in every way he could. He'd take you to pride and protect you anyway he could. And when word got out that Jim Gordon's child was gay ,his enemies would use that to taunt him which obviously didn't sit well with him
Just like Jim , Harvey would be really happy that you decided to come out to him. He's a really open person so he would just worry if you were happy in whatever relationship you had. When you do come out to him he'll be honest with you, even if he's drunk "dad, I'm gay" "to be honest with you sweetie I wouldn't mind going with a guy either"
At first Oswald hated that you were gay. But then he remembered that people used to shun him just because of something he was and he'd be gutted if you felt the same. The pair of you wouldn't force change in your life but take your time to let Oswald become comfortable with the news and when he finally does he would take you to pride