Hi again BL,
Trust doesn’t mean giving him your passwords, not giving him your passwords or pin numbers is protecting him and not supporting him not to relapse. Do you have control of the finances at the moment, again this is not about lack of trust it is about supporting him in his recovery as one gambler on the forum put it (more or less) ‘handing over your finances is not about relinquishing control its about taking back control of your life from gambling addiction’.
It sounds like you are both changing and growing and working on yourselves which is great. Trust takes time to return on both sides, open communication on both sides will help with this. Your husband is not cured (there is no cure), he is in recovery so it makes sense for you to be mindful (rather than suspicious) of this and take all the steps necessary to take care of yourself and your children and the will also support his recovery.
The love and commitment you have for each other is apparent in your post and there is no reason why you can’t do this if you work together. Lily x