Welcome to the board. You're right to be skeptical of non-halogen bulbs (LED, "HID kit", etc). Don't mess with any of them, no matter what the advertisers claim.
Your low beams take a 9005 bulb. There's an easy, safe, effective upgrade: put in 9011 bulbs instead. You can get
less expensive plain ones or
more expensive deluxe ones. I don't have up-to-date comparative data on these two, but you'll probably get some "plus extra" with the Toyota bulb, which uses a more advanced design. On the other hand, it's more expensive. Whichever one you pick, you'll have to trim one of its three plastic tabs as shown
here, then it will fit right in. The 9011 bulbs draw the same amount of electric current as the standard bulbs, and they don't put out more heat, so they're perfectly safe for the car's lamps, wiring, and warranty. The regulation allows a range of 1496 to 1904 lumens from a 9005 bulb; 1955 to 2645 from a 9011.
For the high beams, you need H7 bulbs. The ones to get are
these or
these.
All these bulbs will put more light on the road, so in that sense the light will appear "whiter" (less brownish). However, stay away from bulbs that specifically advertise "whiter light" or specific "kelvin ratings" or "color temperatures" -- this is all a big ol' scam. You have halogen lights. That's what they're going to look like. If you mess with blue/purple tinted bulbs, all you'll do is screw yourself in terms of not being able to see anywhere near as well (and nobody will be fooled). The headlamps on a car are life-safety equipment, not fashion toys; function is much more important than appearance.
Finally: headlamp aim is the biggest factor in how well you can see to drive at night, and unfortunately a new car doesn't necessarily have correctly aimed headlamps. It has to be done carefully with an optical aiming machine as described
here; quiz your dealer on how they do it and if they talk about shining the lights on a wall or screen...say thank you and call around to other dealerships and shops until you find one that has an optical aiming machine.