Whatever stuff you use, here's the deal. I'm a detail obsessed freak..
When washing the car, use a 5 gallon bucket. Put the little grate in the bottom that's sold at autogeek.net. It lets all the crap settle on the bottom below the grate, and doesn't get picked back up in your washing cloth.
Anything other than microfibre is CRAP, and it WILL scratch your car, eventually. Some of the nice stuff like the cotton, diapers, chamois etc etc just takes longer, but it does eventually scratch the paint.
If you drop your microfibre on the ground, it just became the rim cloth now. Get a new one. I have 3 different microfibres. One for the main sections of the car, one for the front clip, and one for below the molding line. I never mix em.
If you wash an especially dirty section of your car with the towel, then go to say, your deck lid, now you've just spread that crap around. Yes, I'm obsessive. Make sure, you use lots of water, and rise the towel thoroughly before switching to the next panel.
Never wash in the sun. NEVER!!! That old myth about burning in those water spots? Let me tell you that ain't no myth. They are HARD to get out man, and that's no lie.
Warm water cuts old wax buildup better, but dries quicker too. So that's an adjustment you gotta make per your conditions at the time.
Start with the top, and work down. I don't have to tell you to use separate towels for the rims/tires right?
Make sure you don't use anything too harsh, that strips the UV protectant coating off of your tires... Yep, it is a reality. Wanna see my bmw's new tires?
If they're clear coated T wheels, make sure your cleaner is rated for clear coated wheels, otherwise, they won't be when you're done. Though, the harsher stuff is slowly leaving the shelves. When waxing, you can wax your rims, and glass as well. MUCH easier to clean the crap off of your glass, dust off of your wheels, and rubber off your rear quarters

For wheels, use the stuff made for your car. Purposely built car wash in a bottle. Just use a scrub brush for the rubber, and a towel for the rims. That usually is good enough.
When waxing, I know it's a pain, but try not to go in circles. That's obsolete logic. It creates more swirl mark affects. Try to go back and forth.
DO NOT USE armor all in your interiors. The old plastics didn't have the protectants our new stuff does, and eventually, it builds up, and I don't know how to explain it, but it gets "scammer"? I don't know what it is, but I could NOT get it off of my old hand me down T bird my uncle gave me a long time ago. I mean, I would have to scrape it off with a knife, and it kept going. It was
deep. It's almost like it was eating the plastic. Use water in a mister bottle, and a microfiber and that's it.
If you have to keep your car in the sun for a while, use the sun protectors that you shove in the window. UV rays play HELL on our dashes. I have a custom dashmat from Godashmat. Not a bad gig for storage.
Ever wonder how the interior of your windshield is foggy, and you just cleaned it yesterday? Outgassing of the plastic I was told. UV rays.
The best way I've found to clean your glass, is with a microfibre, a bottle of Invisible Glass, and a streetlight in the night time. You can see EVERY streak this way.
When you're done, dry it immediately. Don't forget to take your air hose (from the compressor) and blow off all the water within the headlight areas, the dew strips next to your passenger and drivers side windows, and all the water that leaked down into your engine bay.
Also, if you run with no rubber hood weatherstripping, by the dash cowl, like I do (to let the heat get out) remember to replace before you wash the car.
As far as storing it. If it's a dry place, there's nothing wrong with a high quality cotton cover. There are some pretty high end covers out there. As long as there's no moisture in your storage area, you should be ok with one of those. As far as covering it outside? DON'T DO IT. The wind will whip that cover over your paint, and all the edges of your roofline, will have scratches allllll over it. Ask me how I know that....
If you have moisture in your area, you may not want to cover it at all.
If you store it inside, and rarely drive it, use a natural carnauba wax. It's deep and glossy, but doesn't last long. It will if you never drive your car though.
If she's a driver, and gets a lot of road time, try a paint sealant. It's a harder coat, and lasts a lot longer. If your paint is outstanding, you may just be ok with a sealant. Me? I need carnauba to look good.
And clay bars? WOW. What a freakin miracle. I wish I had found out about them years ago...