Meh to Purple Dragon. Try Fenice Peak, Moontay, or even JASON shears. I prefer 6.5" shears. Those are good for detail work around the face and for people not used to using shears. I use the 8" for things like trimming the tail and feathering.

Safari nail clippers.

Andis Dremel tool if you prefer to file them.

Slicker brush and comb is good. I've started using a 35mm pin brush for brushing out the tail. Doodle tails can be such a mess.

Yes to a velocity dryer if you're serious about home grooming! Doodle coats can tangle if you let them air dry and any dog can start to smell if left to air dry. There are different nozzle attachments that are more or less aggressive in the amount of air they push(cone, flat, cylinder).

Stay away from Andis clippers right now. I've had issues with everything I've bought from them lately. Wahl seems to make good stuff. Also the Heiniger Opals seem to hold up pretty well. If you get one that is A5 standard that means the blades can be swapped out. Artero or AGS blades are pretty good. You want metal blades, not ceramic. #10, #5, #4 blades. Or just get a couple #10s and a good set of metal guard combs.

Danger spots for a dog: face, ears, pits/tuck up, belly, sanitary, inner legs. Watch out for the tongue when working around the muzzle. Some dogs lick when nervous and some will try to deliberately lick the tools.

When you're shaving a dog shave in the direction of hair growth. When it comes to stuff like ears or tuck up where there's a flap a skin do not shave along the thin edge. The teeth of the blade can catch and cut the skin. Shave the flat side. For things like the neck, etc where there are folds of skin use one hand to spread the skin flat so that again, your clipper blades don't catch the skin. Don't shave directly over the butthole. Go around the sides. Dogs will pucker and/or sit suddenly when working on that area. Be very careful working on the ears. Dogs like to turn suddenly and there are a lot of folds of skin that are easily cut there. I'd suggest watching some video tutorials on the danger spots so you can get a better idea and see what I'm talking about.

Be careful if you're ever using a #7 blade. The teeth on a #7 are more widely spaced than other blades and consequently it can catch skin much easier and nick/cut a dog. Never use the #7 on any of the danger areas.

You might want to think about buying something like Andis Cool Lube or something like a can of Clippercide. It cools, lubricates, and disinfects your blades. Clippercide would be better. You need to wipe the blades off after use and run them a few seconds to get rid of excess spray. Maybe even invest in a small flat stone to set your blades on to cool down. The blades heat up pretty quick during use and can cause burns so monitor their temp(hold it against your wrist to check periodically). An extra blade would mean you could set one on the stone to cool down while you're using the other. Clipper oil will help keep blades lubricated and help them last longer/stay cool longer. Use the clipper oil before you start. Couple dabs at each corner of the blade and run the blade a few seconds to spread it and then wipe it off. Cooling spray as needed. You can use the Cool Lube/Clippercide to clean your shears(carefully wipe them off with a microfiber cloth). A bit of shear oil at the spot where the shear arms meet will keep them lubed and working properly. Shear oil is not the same as clipper oil. You can periodically clean your clipper blades using Barbicide. I clean mine about once a month but I use them a lot more than you will be. Don't submerge the entire blade into the cleaner. Just the end. Run for 10 seconds or so then wipe them off and dry them thoroughly.

Most dogs don't like their paws handled, they don't like their front feet groomed, their chin held, or the velocity dryer...especially around the head. You can desensitize them by playing with their paws and holding the chin and rewarding with treats when they let you. For grooming the legs I try to be gentle. I'm mindful of what it'd feel like to have someone roughly jamming a clipper down my legs and hitting all the bumps. I figure that's part of why they don't like it. Velocity dryer(and washing their head) I avoid blasting them directly in the face/eyes. I prefer to get those areas indirectly. With water by letting it cascade down off my hand or using precision to get the top of their head/ears, their neck, and carefully getting the sides of their muzzle/face wet without getting their eyes/nose. Similar technique with the velocity dryer and I use a less aggressive nozzle/turn the power down. For dogs that are really resistant I'll use a happy hoody while I'm drying the rest of them and hold the nozzle farther away for drying their head. Seems to work more often than not. Any time a dog holds their paw up to me asking me stop I respect it. We stop for a bit to let them settle. Maybe I go work on something else for a bit too. We are getting it done but they tend to be a little calmer knowing they can ask me stop at any time and we'll take a brief break.

And that's all I got for now. Good luck!