when I had my own garage I used to spend anywhere from 5-6 hours thoroughly detailing my Audi. (it took longer depending on how dirty the car was) I'm talking no rock was left unturned. it got to the point when my homies would see my car they actually paid me to do their car up too when summertime came around because they were always like "damn, your whip looks almost too clean

". I always keep these kits in my collection.
either of these come with different high quality cleaners that you would need for complete tip top care, and I'm assuming that's what you want since you own a 10' Lexus and not a 94' Kia.

and even though those kits come with their own brand of tire/wheel cleaners. SONAX Wheel Cleaner is one of the best ones you can buy.
obviously you'll need rags, buckets, sprayer hose with adjustment settings, brushes, sponges. (Although you can give the car a hand wash using nothing but your hand, it gives you the piece of mind that you won't scratch the paint up) and if you u wanna get a complete detail. it's good to learn and invest in machines and clay bar kits. that's my 2 cents.