Welcome - nice to see you here! Just thought I'd butt in to say that, but on the subject of the question, well we chose to publish both decks ourselves, although we were in fact offered a good publishing deal for the new deck (which we very much appreciated, even though we decided not to go with it). In the end there are definite pros and cons both ways. It depends an awful lot on circumstances and what you want to achieve. Personally, I don't think you can say that one way of publishing is "better" than the other, it's just different, but I know some would disagree.
There is a lot of information here about self-publishing, if that's the way you decide to go. Also a heap of experience to draw on -and deck designers tend to be pretty good about helping each other out with advice.