OK, chrome strips first. There are a number of decent metal polishes. I will PM you some links to websites that I use for these products.
A dremel with a felt ended bit is great for stuff like this. A bit of polish and gently work your way round. Stainless parts can also be done in the same way. Fiddly yes, but well worth it. And lots cheaper than re-chroming too. Also bear in mind than new chrome will go exactly the same way if left unprotected. Every inch of brightwork needs the same protection as your paint does.
Now, Polishes. By definition, a polish is abrasive in nature. Some common misconceptions are that waxes and sealants are polishes. They are not. These are LSP's (last stage protectors). As an example, Menzerna 85RD is a 40% cut made up of milled aluminium oxide particles suspended in a mixture of waxes and oils to act as a lubricant. These polishes will remove the dead and oxidised paint form the surface, usually about a micron or two at a time with proper working, and thus expose fresh undamaged paint underneath. This is where most people go wrong. They think that a "polish" will also protect the paint and nothing could be further from the truth. You then need a LSP on it to seal the surface and protect against muck, dirt, acid rain etc.
Polishes are not all equal though. T-Cut as an example is extremely abrasive and the lubricant contains very harsh chemicals like ammonia. Imagine cleaning your teeth with a file and you will get some idea of how nasty the stuff really is. The better polishes come broadly into 2 groups, wax or oil lubricated and water lubricated. 3M Ultrafina is a water based version of Menz 85RD which is oil lubricated. Both are great products but the water based one will create more dust. Conversely, the water based ones work better in low ambient temperatures (less than 10 degrees celsius)
So, decent polish will restore your paint by effectively cutting it back a micron or two to fresh paint. In order to prevent the newly exposed paint going the same way you must seal it with a LSP. This is best done by wiping down with a microfibre cloth which is clean and grit free. I always use a fresh one and stick it in the used bag once finished. These go through the washing machine when there's enough for a load. MF cloth and IPA or some cleaner stuff to remove any residues from polishing. Menzerna Top Inspection is an example of a good cleaner as is Meguiars Last Touch.
Then a sealant is best. Blackfire do some good ones. Apply like a wax using a foam applicator, leave to haze off and buff with a clean MF. Leave to harden for an hour or two - the longer the better up to 24 hours. Then apply one or two coats of a good quality carnauba wax.
Again, good quality. Not wash-'n'-wax or Turtle wax, decent paste wax with a highish (over 30%) carnauba content. There are many of them and all claim to give a better gloss...blah blah. You and I would not really notice a difference in most of them. A decent hard wax which resists a lot of attack is Collinite 476. 2 coats will see most cars through a winter, providing of course you hand wash with a proper car wash soap (not fairy liquid) and stay out of the swirl-o-matic things at petrol stations.
For evidence of what proper polishing can doo, see the 50/50 picture below. This is a panel on my wife's car which I taped off and polished one side. Shown under halogen light to keep colour balance in the photo. Now imagine this with a layer of sealant and then 2 coats of wax. What a difference. There is much more clarity, warmth and depth to the colour.
Anyway, hope this helps. PM on the way with some links.
Just tried the PM but not possible due to post numbers. so here's some links.
http://www.polishedbliss.co.uk/
http://www.autobritedirect.co.uk
http://www.carwashnwax.com/
And if you want the link to a site where "clean freaks" hang out try this. Lots of excellent information on this site.
http://www.detailingworld.co.uk