Welcome to the greyhound cult.... 
Make sure your hound has the appropriate collar - it should be either a wide leather fishtail greyhound collar or a beautiful, well made martingale. I personally recommend Meggie Moo collars, as they are beautifully made and use stunning fabrics, but more importantly both the collars and the components are safety tested in a lab - massively important and not something all collar companies do. We've been caught out in the past by collars that look pretty but have inferior hardware or stitching and for sighthounds, it really is a safety issue. Meggie Moo also do matching leads - just make sure you don't use an extending lead - lethal for sighthounds.
Ours are currently insured with Direct Line but we are a multi hound household with oldies so it's worth shopping around.
For younger hounds it isn't too important to think about raised bowls for feeding - very much a matter of personal preference. It used to be said that it was good for preventing bloat but this theory has now been disproven. What is helpful is to split food into two or more meals per day, and make sure they exercise before food rather than after (this is a proven issue around bloat).
Food - ours are on Fish4Dogs but Millie's Wolfheart is great - it's simply about finding what suits your dog best.
You will probably be advised to walk your hound in a muzzle at least to start with. This is sensible advice. Most greys are used to wearing them and don't mind in the least - your rescue will be able to supply them.
A grooming brush for regular brushing - something like the Kong Zoom Groom is lovely. Ours adore being brushed - it will help shift the "kennel coat" and then the lovely shine will come through.
Coats - I'd recommend as a minimum that you consider a fleece housecoat and a waterproof coat for walks. As I run a coat company I can't really say anymore as my post will be removed for advertising. You will inevitably find though that your hound ends up with a beautiful assortment of coats and collars and is by far the best dressed member of the family.
Vets - find a local vet once you have hound, and get him/her to have an initial appointment for getting the chip on their system, to discuss worming/flea/tick/vax programme and generally have a once over. Get them weighed - usually a pet grey will be a few kilos heavier than a racing weight.
Post adoption - I'd recommend joining the Secure Fields page on FB - finding your nearest local secure field and using it in the early stages for off lead safe zoomies and for practising recall. Many rescues actually have their own paddocks etc that you can borrow/hire. Many also run regular sighthound playdates where a gang of pointies can run off lead in an environment such as an indoor riding school. In fact, there is a flourishing and very wonderful social network around greyhounds with an array of walks, parties, BBQs, quizzes, shows etc to take part in. You will also find that other grey owners will never walk by - they will always stop for a chat.
On a serious note, the minute you get hound home, take some decent pics and write a description and upload it to DogsLost website. The immediate period after adoption is when dogs are most vulnerable to getting lost - combination of factors including new owners forgetting to close gates/doors and dog not knowing new area around home or being nervous. By preloading, if your dog should ever go missing, you can activate their page very quickly and have an army of volunteers out looking and putting up posters in minutes.
I would also add vet and local Dog Warden numbers into your phone.
Once hound is settled, do consider a basic training class - more and more pointies do them and they really enjoy the training and it will help to strengthen the bond between you.
Good luck!
And lastly, I had absolutely no difficulty in understanding your original post - certainly no dripfeeding!