Although products are important, restoring a neglected finish is more about knowledge and technique than what brand chemicals you use.
There are a handful of things that you actually do restore/maintain paint. Which you do depends on the condition of your finish.
In general, you can:
<span style="font-weight: bold">Remove loose dirt and dust –</span> in other words, wash the car. Best to use a shampoo specifically designed as a car wash.
<span style="font-weight: bold">Remove stubbornly attached contaminants –</span> the stuff soap won’t remove. Depending on the gunk on the car, tree sap, road tar, bug guts, overspray, bird bombs, water spots, etc this could be chemical, using solvents or concentrated detergents, mechanical, using clay, or a combination of both. If you’ve never clayed the car do it. You’ll be amazed.
<span style="font-weight: bold">Remove defects in the surface –</span> oxidation, swirls, scratches, etching, etc. Anything from a mild polish to a heavy compound depending on the severity of the defects. In really severe cases sanding may be appropriate.
<span style="font-weight: bold">Apply something that improves appearance but doesn’t actually remove defects –</span> the least understood surface care activity, glazing. This is basically wiping oils onto the surface to give a deeper, “wetter” look but doesn’t, repair, restore or improve the surface. Glazing is strictly optional and on some finishes, totally pointless.
It can give a nice effect, especially on dark colors but it’s only temporary. Glazes are best used as “icing on the cake” to add that “little extra something” to a properly prepared surface. (Any time you hear somebody blather about how you “must” use 3M Imperial Hand Glaze to “repair” swirls, this is what it really does. Lots of body shops use it to hide shoddy work.)
<span style="font-weight: bold">Apply something to protect the finish –</span> Wax. Whether a natural wax or synthetic sealant, it’s added on top of a properly prepped finish for protection. No wax will make a bad finish look good. Any wax will look good on a good finish.
Those are the basic actions. There are also products that combine two or more actions together. A cleaner/wax, for example, will remove mild contamination and surface defects while adding protection.
Not all companies make products that address every step. If you have a favorite wax from a company that doesn’t make compounds or clay or something you’ll have to mix and match products from other companies. Mixing products between companies generally works fine as long as you know what the individual products do and how to use them.
Over the counter, you’re more likely to find Meguiar’s products that cover the range. But other companies have complete systems as well.
It sounds like your T/A is at least a bit oxidized. So I’d recommend starting out by washing and claying it. Then you can inspect the finish for condition and try some products to see what works for you.
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