Flying Pig Pro Grooming Dryer has been great for me and my professional grooming needs!
Those clippers won’t do at all. If you want quality products, you’re going to have to spend a bit more.
The Andis 2 Speed clippers are going to be your best bet. It’s out of stock on Amazon but I’m sure you can find it sold elsewhere.
As for the scissors, the ones you picked are going to make the job SO much harder. They’re super tiny and they look like something I might get to do touch ups around the face, but certainly not an entire dog. I’ve heard good things about Purple Dragon Shears and they’re extremely inexpensive. However I have heard that they often have to be professionally sharpened before they’re usable. You can find some good deals on Affordablegroomingshears.com as well.
When buying a dryer, you need to keep in mind that if you’re wanting to blow out your dogs hair so that it’s straight and you get that fluffy poodle look, you will need to find something that will get them dry before the curl sets in. If that’s not a concern you may be able to settle for something cheaper. I’ve never used or really heard much about the brand you linked so I can’t speak to the quality however I’ve heard great things about Flying Pig dryers.
If you’re really committed to grooming your dog properly, it’s best to just invest in decent tools whenever possible. Cheap equipment requires more maintenance and you end up paying the price in the long run anyway.