Counseling

My husband and I have been married almost two years, together 4 years. He is divorced with two kids who we share custody of with their mom. Anyway long story short my husband has a problem telling the truth. He always says he never lies abt big things but just has a problem being completely honest. I have told him each time that he lies how important trust is to me, and yet he keeps lying. He says he knows he has a problem and wants to work on it. We have a 4 month old and other than the lying we have no issues. He is caring and sweet and an amazing dad and I love him so much. My concern is that I feel if he's lying about little things what big things is he hiding from me? He has never cheated on me (that I know of) but now I am paranoid after all the lies he either will or already has and just hasn't told me. I have never been a jealous person and now I am conatanly thinking he has done something wrong. He did a ton of research and showed me a list of counselors he thinks would be good for us and wanted me to look and see which one I like the best. I feel we have only been married two years and we are already needing to go to a marriage counselor means we won't make it. Does anyone have any advice or experience with this?