Lee,
Welcome aboard. Like you and a great number of us, I started building again after a 40 year sabbatical. You'll find that we're mostly harmless around here.
In my opinion, the Tamiya 1/350 USS Fletcher is an excellent starter kit. Great fits, well engineered and fairly simple. PE wise, you can go with Gold Medal, Eduard, Tom's and a newcomer Five Star.
Gold Star is a great choice for beginners as it is fairly sturdy. Eduard is a good second choice because I like their instructions the best and it hold up well. Tom's and Five Star can be on the delicate side so not a great choice for beginners.
Trying to teach your fingers how to finesse tiny peices of metal is a learning experience in itself! But once you get good at it, PE can add so much to the look of a ship model.
I hope this helps a bit,
Steve