Hi, and welcome to the forum.
A very nice looking SUV. As you can see from my Avatar, I've a Tahoe myself.
The little Orbital "Waxer" you illustrate is not totally without some worth, and use. They can save the hands a good amount of wear and tear, can save some time when waxing, making shorter work of both applying, and removing waxes, cleaner waxes, glazes, and will offer a very slight limited amount of correction to the paint. But usually not enough, and that's where they fall short.
This will depend on a few factors, such as what products being used with it, the time you wish to spend per panel.
But they are hampered by poor rotation, just not enough power to be a efficient tool for paint correction processes.
I came to that conclusion back in October when I joined this forum, and I'll explain what I did. I do have similar machines to like the one you illustrate, plus a good Milwaukee Rotary Buffer-Polisher, but knew very quickly I needed to step up my variety of tools, and step into the 21st century. A rotary machine is a good tool, but one can into trouble quickly, burn, and do irreversible damage to the paint. The D/A machines are much more gentle, and forgiving.
Meaning, I needed a good D/A Polisher. My choice was the Porter Cable 7424XP, and I am happy with it. The 3rd generation Griots Garage D/A is also highly liked, is slightly more powerful than the PC Machine, and with a lifetime warrantee, it probably is the best one to get, and basically a no brainer.
You made mention of having your paint, and vehicle looking the best it can. This can be accomplished with a D/A machine. With this type of machine, the right chemical products, and techniques, this will be the best, and safest way to do it.
My recommendations, would be the 6" Griots with a 5", and 3-1/2" Lake County Backing Plates, a good assortment of 5.5", and 4" Lake County Flat Low profile Pads. The colors Orange, White, and Blue or Red will cover all basic bases. I would suggest having 1/2 dozen of each in the 5.5" size, and perhaps a few of each in the 4" size.
The smaller size backing plate, and pads will be a huge aid to polishing bumpers, roof pillars, around mirrors, and other smaller areas, like the roof in between protective runner strips, roof racks, etc.
The Wolfgang Twins (Total Swirl Remover and Finishing Glaze) are great products, easy to use, I like them. Other Polishes such as Menzerna FG400, and or Meguiars 105 might be good to have on hand as well to deal with possible deeper scratches-marring.
Again, a nice sealant, such as Wolfgang, Duragloss, Menzerna, Blackfire, are all superb, offer extreme gloss-reflectivity, and are all long lasting-durable products.
Throw in some good quick detailer sprays, a few good hand applicators, a good quantity of good quality Microfiber Towels, and other ancilliaries like Pad Cleaning products, interior-exterior trim protective products, which there are many greats ones here on the site, and you'll be basically all set to extract the very best from your vehicle.
You'll probably be around or near the $500 mark, but you'll look back, and say the purchases were worth every penny. I know this vehicle you have cost some good dollars, they deserve good quality products, and the time spent to make them look their best, and to protect them to maximize your costly investment.
Again, welcome, and enjoy the forum, I think you'll like this place a lot!
I sure do!
Mark