I'd recommend getting a chamois or micro fiber towel for drying to reduce the risk of scratching the paint. I dont think wash soap matters too much as long as its reputable and not dawn dish soap. I use Jax Wax cherry wax which is FANTASTIC and leaves a wet look which pops on my bright Atlantic paint. I used to use meguires show car paste wax and worked really well but I don't think it compares to the Jax wax. I use a spray wax for in between washes to keep the paint clean and help the wax last longer. You may want to think about a synthetic wax which shines less than a carbenuba wax but has the benefit of an approximate 6 month protection, where as most traditional waxes last usually only 6 weeks. Some people use the 2 bucket method when washing; 1 bucket is used for the wash soap and the other is just water used to rinse the wash mitt after washing down the car, that way you rinse the mitt before putting it into the soap and recirculating dirt onto the car. Get whatever tire shine will make you happy as there isn't much difference between those either, some just shine more.
1998 Bright Atlantic Cobra - 3:73's, BBK ls, Pro 5.0, 96 Cobra STB, Borla XR-1 Catback, Custom Catch Can, Spec clutch, MM Firewall adj, FRPP wires, RSD, Spoiler delete, 245/275 BF Goodrich g sports on chrome 95 cobra r's
1998 V6 Mustang : SOLD!