Exactly-baby steps, take it slow, and don't be too hard on yourself for expecting more from him - AND from yourself.
I have learned that when I expected things from H just because 'he should know' I ended up getting hurt...after all, he cannot read my mind (even tho I sometimes think he SHOULD!!).
It is hard to keep all the feelings and emotions to yourself during this period of your rebuilding, but I found my worst backslides when I'd let go of my DB'ing and feel myself slipping back to the 'old me'. And, as was usually the case, I was the one who ended up crying.
My H is not a talker-you are lucky in that respect, just be really really sure you want to hear what he has to say, because once said-it cannot be taken back and it has an ever resounding ring in your head. I would pester my H until he finally did tell me whatever I was pestering about-and when I did this about his A and the OW...I heard some pretty mean things that still hurt. Just be careful and protect yourself.
It is obvious that he is willing and is doing the right things...that's good, but don't let him get ahead of you-keep it at YOUR pace. How to do this? Detach and back off if you feel smothered. Ask him to slow down-tell him you're still very hurt and just need some time to gather your self. Reassure him you are 'there' with him, but that it's a bit fast for you.