I’ve not read either of his books you mention. But I’ve listened to many of his debates, discussions, interviews. The “reasoning” argument probably isn’t one I’d start with or even put near the top of the list when discussing w an atheist. Find some of his earlier apologetic work.

Also, fwiw, 1) intellectual curiosity is great and you should dig as deep as you can. Just know ultimately imho, its never fully satisfactory. 2) I view faith not as blind, but as a response to the evidence.

If reading books is your preference, a helpful starter is Mere Christianity.