Hi there! I know a lot of people have weighed in, but I thought the more the merrier! First off, congrats on the beginning of your journey with a Greyhound. I just adopted my first in April. (He's, of course, the Best Dog In The World)
Raised feeders) Yes, people either are all for them or all against them. For me, it's more of getting the dog to eat slowly. Not all animals like soupy food, so you may have to play with exactly how much water to add. My dog, Rogue, likes to lap up the soupiness before getting to the kibble. I figure he's eaten from the ground his entire life, so I haven't made a raised feeder. I do feed him on a rug so he does not slide on the wood floor. I just ordered a slow feeder bowl online since Rogue will occasionally gulp too fast for my liking.
Cooling vest) I'm actually thinking of getting one, so I'm reading people's replies! We had a 2 day streak of hot weather and while waiting for the A/C repair person, Rogue did enjoy laying his head on an ice pack I wrapped in a towel.
Grooming) I use a rubber mitt or a soft curry comb meant for horses. Works like a charm.
Crating) Rogue was not fostered before coming to me so I used a crate for about 2 weeks to house train him and haven't used it since. He also hasn't figured out how to get up on the couch or bed...yet. Hehe.
Supplements) I'm using Olewo carrots and Rogue loves them.
Food) I have tried two flavors of Zignature and while Rogue eats it up, he is super gassy and the Olewo carrots are the only thing keeping his poop firm. So I'll be trying something a tier down next.