Rick:
Chosing which WW magazines to read/use, is pretty much an individual choice.
There is a lot of positives about Fine WoodWorking. My library has a copies of it, perhaps yours does as well, to see how you like it. Some say that the black and white (no color) picture volumes where the best. Not sure about that, but often the articles were written by now the senior woodworkers like Maloof, Krenov, etc. These older articles are available in the hardbound books that frequently are remaindered in my area or perhaps on Amazon. Tends to have more serious projects for a beginner. The annual workshop issues are great. (around DEC/JAN).
American Woodworker has it's ups and downs. A couple of years ago, it was taken over by the Reader's Digest group. No offense to them, but the projects sort of "sucked" for awhile. Now, after about 5 years, they're doing pretty good.
Wood Magazine - the first "popular" magazine from the Meridith Group - Family Handyman is one of theirs - and I think Better Homes and Garden. Good generally, lots of articles on woodworkers in general. I like their easy projects.
Woodsmith/Shop Notes- two of the finest magazines around. Shop Notes has articles on building stuff for your workshop, jigs/fixtures/machines, etc. Woodsmith concentrates on the furniture. I read these two alot.
Router magazine - one word - NO. Hasn't yet lived up to what it should be. A reprint of an English publication.
Woodworker's Journal - owned by Rockler now, and the projects are hit and miss. More miss. The older issues of about 4 or so years ago where more interesting.
Workbench - use to be ok and now, it's falling off my favorite reads. Articles tend to be things like - replacing a deck or building a patio. Not woodworking.
Woodcraft - a good, but still young magazine owned by Woodcraft. Good articles but still hasn't become my all time favorite.
Woodwork - some have said that this is the premier magazine. Really oriented towards the pro - tho beginners might find some use of it. I started to read it again after the editor stopped by our club and talked about what he things the magazine is. Great articles on woodworkers and some projects.
And finally - one of the best all round - Popular Woodworking - this is one magazine that I would have to say, year after year, has offered up some great projects. I have used it over and over and treasure each of my copies. Easy to understand and a variety of shop and furniture projects. A great magazine!
If you're a carver or interested in carving there are other mags out there as well as for the scroll saw users. Can't vouch for them, as I don't do either.
What I would do, is what I did - just start buying an issue at time (if you can afford it) of the following: Fine Woodworking/Popular Woodworker/Shop Notes and Woodsmith. See if you find them interesting and easy to follow. I'd also throw in Wood in there as well.
Each of these magazines have their own websites and so you probably can get a good sense of their projects/article just by logging into the sites and poking around.
Good luck and reading!
MJ Wallace