Depends how an@l you want to get with it, strictly speaking a polish and a wax are two separate products, although a lot of companies (meguiars, autoglym, turtle) do combo products that for a car with decent quality paintwork will do a pretty good job.
If you’ve got significant swirl marks or light scratches, a good polish, then a coat of wax will be better although more time consuming.
Whichever you decide make sure your car is properly clean before starting the polishing process, little bits of grit will get picked up and dragged across your bodywork
I’ve got bits of chrome on my car, and have never done anything other than just dry and buff it with a clean cloth/microfibre towel.