Mmmmm...warm weather year-round, that would be nice! So since you don't really need all-season tires you've got some great options. I'll be a little bit biased in my recommendations, I love Bridgestone.
Bridgestone RE760 - A budget summer performer from that has a good tread-life and good test numbers, I was looking at running these in summer but will probably go with...
Bridgestone S-04 - The next step up from the 760, tread-life takes a little hit, but there's a step up in grip performance (note the AA traction rating). There's also a step up in what you'll need to shell out to get them.
And for those who don't care about purchase price or tread-life there's this...
Bridgestone RE-11 - A beast of tire with no compromises, except the cost of running and constantly replacing them. I put too many miles on my Z to even consider running these, but I know Soup (aka: DaSoupDude, my partner in crime in the 350/370Z forums) runs them on his Z down in The Sunshine State, maybe he'll chime in here.
And even though it's an all-season tire I'll link the shoes my Z is wearing. If you live someplace where the temps drop below 40 degrees and maybe you need a little better wet weather traction or even some light snow traction here's a great "compromise" tire...
Bridgestone RE970AS - High tread-wear, great grip, best all-season tire I've driven on, not counting the Continental's DWS (it's AMAZING in snow but has a sidewall that's too soft for me).
The two other summer tires that I constantly see great reviews of are...
Continental Extreme DW - Never driven with them, I've got a friend with a Mustang GT that loves them though. Basically a version of the DWS made just for the warmer months.
Michelin Pilot Super Sport - Always a contender for the top spot in Tire Rack testing. I have zero first or second-hand knowledge about them, only what I've read online.
Oh, and Welcome to NICO!
