Wax does NOT correct anything in the paint. It does not take out swirls or scratches or anything like that. Wax or sealant is merely a protective layer added to a vehicle after it has been cleaned and polished. If you want to see actual results you will need to at least use a clay bar and chemical paint cleaner before you wax. You can do this by hand, but it takes a long time and you don't get the best results. However if you are going to invest in a buffer and pads you can keep your car looking mint all the time. You can polish out the scratches and make it look awesome.
Now if you want to get a wax or sealant locally there are decent options, but Turtle Wax Ice is not one of them. This product uses oils and fillers to make you think your vehicle looks better, but in reality it is just masking the problems and not providing any UV protection for your clearcoat.
Here is part of a little article I wrote for a friend of mine who had the same question.
So you say you want to wax? Well "waxing" is the term that has become synonymous with adding a last layer of product to a vehicle that will protect it from the elements as well as add gloss, depth, and sparkle to the paint. In reality there are three different products that you can use to protect your car. Wax, sealant, and liquid waxes (hybrids). To understand which one you want to use you have to understand what they all are, and what their purpose is.
Wax
First wax. Wax is just that, wax. It is a product that contains carnuba wax. Carnuba is the best of the best, show stopper when it comes to a show car finish. Carnuba waxes add depth and wetness to all non-metallic paint jobs. Carnuba wax is easily the best looking protection that a non metallic car can get. However there are draw backs. Carnuba wax is expensive. Generally for an ok carnuba wax you are going to pay about $20-$50. It will look ok, but not great. When you step up to what they call boutique carnuba waxes you get a wax that has at least 50% carnuba by volume and you get into the $100-$3000 range. Also carnuba isn't the most durable finish. It looks great on a show car, but for a daily driver it won't last very long, 1-3 months at most. Thirdly carnuba wax can be hard to work with. It will go on and buff off easily but it tends to "sweat". What that means is a couple hours after you apply it, or even the next day, some cloudiness might appear on your paint and you will have to buff it off again. Not a big deal, but can be annoying if you are in a hurry and don't want to waste the time. Also carnuba waxes must be applied by hand, not with a buffer, so it can be time consuming.
Sealants
The next type of paint protection is sealants. Sealants are man made and are always in liquid form. Sealants add a TON of gloss to any color paint, but are low on the wet look and depth. The main draw for using a sealant is it's durability. On a daily driven car a sealant can easily last 4-6 months depending on the weather. Also sealants go on very easy and can be applied via machine (your buffer) where as carnuba waxes should be applied by hand. Now, while I'm not a huge fan of the super glossy sealant look, some people love it and prefer it over a carnuba wax. I use sealants for all my customer cars though because of it's great durability since I don't see a customers more than a few times a year.
Hybrids
Finally there are liquid waxes, or hybrids as I call them. These are few and far between but they do have their place. A hybrid, like a sealant is always in liquid form and can be applied via machine buffer. It is a mix of man made chemicals, and has some carnuba thrown in to help. A hybrid does everything well, but nothing great. It adds gloss, depth and the wet look, but not to the same extent that a dedicated sealant or wax does. As for durability it falls pretty much right in the middle with 3-5 months.
Now with all that info here is what I do. I lay down a layer of sealant on my vehicle. This way I get the gloss and protection that I want. After letting the sealant cure for 12 hours I then apply a layer of carnuba wax on top of the sealant. This not only adds even more protection, but it gives you the depth and wetness that the sealant lacks. The drawback to this is that it takes more time and cost more money, but if you want the best look possible this is what you have to do.
All that said here are some of my favorites:
http://www.detailersdomain.com/colloniteliquidinsulatorwaxno845.aspx AMAZING durability. I've seen two coat of this last for 9 months and still going strong.
http://www.detailersdomain.com/menzerna-powerlock-polymersealant.aspx Very easy to use and looks great. In good conditions it can last up to 6 months, but I would expect 3-5 realistically.