Embroidery Hoop- this is a ring consisting of two parts. You put the fabric in between the hoops - this helps keep it taut, making the embroidering easier. More about how to use hoops you can find in this article: https://www.patreon.com/posts/how-to-use-hoop-29306727
Fabric- it is your choice! Linen, quilting cotton, canvas, jeans, batiste, osnaburg, even felt are all great choices! It should not be too loosely woven or too tight. Find out more about all the fabrics suitable for embroidery here: https://www.patreon.com/posts/what-type-of-to-29307713
Embroidery Floss - DMC, Anchor, Gamma, Madeira, Cosmo - all those brands are good quality. There are many different sets of embroidery floss available on online shops also and there are TONS of colors.
Embroidery Needles - They have bigger eyes than normal needles to accommodate the size of the floss. You can buy a needles set with big eyes and sharp ends and choose those you are comfortable with in future. I recommend embroidery needles from DMS #3/9, there are also good needles from John James #5/10, Clover #3/9.
Water-soluble marker, heating erasable gel pens or another marking tool - you will need it in case if you will buy my digital embroidery patterns. This way you can draw designs onto your fabric! If you use a water-soluble pen so you can rinse the markings out with cold water at the end. You can also use heating erasable Pilot Frixion Gel Pensand remove the ink using iron or hot air from your hair drier (the ink disappears when heating and you don't need to wash your embroidery). Here is an article about all you need to know about Pilot Frixion Gel Pens: https://www.patreon.com/posts/all-about-pilot-30953804
You can also find those materials and tools on your local shops, here is an article with the links to the shops I can recommend: https://www.patreon.com/posts/list-of-online-45560183