$2,000 is a decent budget but you will be at that or slightly more for just the lift. 3" isn't needed for 35's, you can go with 2.5". But if you are set on 3" then you need a complete kit and may need to address driveshafts later on. My suggestion would be Rock Krawler 3.5" X Factor. Amazing offroad and amazing on road, win/win. Order from a vendor on board, Jason at Krawl Offroad. Great guy, and great prices.
Oh and welcome from Phoenix.