I'll second the suggestion of Tamiya's Fletcher as a great first kit, especially if you are going to trick it out with a PE set. Combined with a good PE set, and there are several for 1/350 Fletchers, Eduard, GMM, Yankee Model Works, etc., this little kit builds up into a real show piece. And, if you want to get your feet wet with resin, the 5/38 turrets in the kit are a bit under scale and can be replaced with accurate replacement turrets from Alliance Model Works.
I have to agree with tankerbuilder that enthusiasm isn't enough. My first build coming back into the hobby was Italieri's 1/35 LCVP. After that, a pretty easy build, I thought I was ready. Then I took on Dragon's 1/350 U.S.S. Laffey and discovered how unready I was. Suffice it to say that the kit defeated me and ended up on the shelf of doom, so screwed up it ultimately ended in the trash.
Modeling is like any other hobby that requires levels of skill. You have learn to walk before you run. Start with a much simpler kit before you take on a battleship, you won't regret it. If you have no experience with PE and other after market accessories, you have a learning curve to overcome. Believe me, nearly four years back into building, I'm still learning how to master PE and a host of other skills. I think you are setting yourself up for some serious frustration and a really bad experience that could drive you away from a great hobby if you tackle a complex battleship and PE upgrade set as your first effort.
You might want to take a look at a build thread over on the World Affairs forum. A guy did a complete build thread on his Missouri and it will give you a great idea of what you are taking on. Here is the link to that thread: http://www.worldaffairsboard.com/modelers-corner/60395-building-tamiya-missouri-super-detailing.html
Check that out and then decide for yourself, but believe me, you are getting good advice here to start small, then work up to that dream project. After all, when you do build that dream project you want to have the skills to do it justice.
Bob
Just launched: Revell 1/249 U.S.S. Buckley w/ after market PE and guns.
Building: Italieri 1/35 P.T. 596 w/ Lion Roar PE.