Sorry to repeat what you have already learned. I’ve been in the biz for many decades, and you are one of the rare few that have had singing lessons. Good for you!!!
I started out wearing “high fidelity” musician’s ear plugs made by either Westone or Etymotic. So I got used to the difference there. I bought the ear pluts to protect my hearing, then an unrelated misdiagnosed (three times) problem took out a lot of my high frequencies. I guess one way or another it was going to get me 
So the transition to closed dome hearing aids wasn’t a big leap for me. I’d already done that with the ear plugs for years.
I use a small, on-stage, 15watt monitor. Being small, it is biased to high frequencies, which is what I need.
With my Oticon aids, I have a little “connect clip” which is a small clip on device that communicates to the aids, I guess through Bluetooth or something similar. It has volume controls on it.
I keep a sound level meter on stage and I keep the average volume to about 85dba. Rare peaks might go to 90. 85dba is considered maximum safe listening volume. Since I know the aids amplify, I click the down volume button a couple of times.
Between songs if someone in the audience speaks, and I need to hear, I can click the up button on the clip back to the default, so I can better understand the person speaking. I put the clip where I can discretely adjust it without being obvious.
What you are going to get used to most, is the sound of your voice through your bone conduction combined with what comes through the aids. It will take some time to get used to, but it can be done if you practice enough.
After you get used to it, if you try to sing without your aids, you will sound odd to yourself. It’s all about adaption.
I started singing and playing the saxophone professionally in the late 1960s and still do it today. I’ve added a few more instruments since then. It’s a great way to make a living, and neither the ear plugs nor the hearing aids are going to stop me. I hope they don’t stop you, either.
Good luck to you.