I assume you're talking about an R35 GT-R since you said it's a "late 2000s" car. It just so happens that I recently started a new series of blog posts that talk about the maintenance costs on my car:
http://www.23gt.net/#!/2016/08/r35-gt-r ... 1-oil.html
Synthetic is a requirement for the GT-R and oil changes are every 6 months or 6,000 miles. The biggest cost with regular service is the tranny fluid change but that's only every 18K with normal use. Overall the R35 isn't extravagantly expensive but it's not cheap either. Almost all consumables are subject to the "GT-R tax" which is a GT-R owner term for the markup that all products typically get just because they're for a GT-R. Tires are a big cost at about 2 grand for a full set depending on type. Insurance isn't bad if you have a good record - I hardly paid more for my R35 when I got it in 2009 versus what I used to pay for my G35 coupe.
It's about as much of a cop magnet as any other fast-looking car but it's more subdued than say a Viper or mid-engine exotic. I've only run into cops with mine when they want to check it out lol.
Whatever you do, if money is a concern don't get into modding it. I've sunk more into my car in mods than it cost me to buy it new and that's not unusual for R35 owners when the mod bug bites lol