I recently found out that my 30's era home has absolutely no insulation in it, just empty wall cavities. I was considering having them filled with cellulose insulation. I found a contractor who does it properly, or so it seems. He drills to holes and probes the cavities to ensure they are not blocked and fills them. My house has moisture problems which I will remedy beforehand by installing gutters and replacing the roof. Sheetrocking the walls is not an option for me.
Is cellulose insulation a good choice or are there other options I should consider. I know there are other retrofit products (like cementitious foam) but I don't think they are available in my area.