You mentioned looks and handling for mostly pavement driving. You cannot beat Bilstein's ride height adjustable 5100 series for your Tundra. It utilizes stock springs and tops out at 2-1/4" lift, which makes alignment easy after the install. The ride will be a bit more firm, but nothing jarring. It will change the plush stock ride to more of a 'truck' ride.
On Tundras, stock size tires still look okay with increasing height to 1-1/2". Those who opt for over 2" usually install larger tires to even out the look. I recommend +1" all-terrain tire (275/70/18), which is a good balance of looks and won't kill your fuel mileage.
If you don't plan on driving offroad, investing in Fox, King, or Icon will be a waste of money. Those are expensive, premium suspension systems designed to absorb whatever rough terrain can dish out.
One word of caution. Stay away from spacer leveling kits. One deep pothole is all you'll need to understand why. Stick with coilover lifts.