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If you are stitching using aida cloth that already has holes, you don’t need super sharp needles. More then that, you should prefer the rounded tip of a tapestry needle to ensure you don't accidentally split the fiber you're stitching with.

Try to buy all your threads for a specific cross-stitch project at once. Why? Because the embroidery thread is dyed in different dye lots. Hence even if you think that you get a specific color from a specific manufacturer, it can sometimes have a slightly different hue. Most times it is not that noticeable, but to be on the safe side, buy it all at once.

There are a lot of styles of embroidery hoops and frames. It is your decision whether you use one or not. If you a beginner cross-stitcher perhapse you will prefere to put your fabric in an embroidery hoop. Just don’t pull your fabric too tight or it will distort the weave of the fabric.

You can cross stitch on different kinds of evenweave fabric. It may be evenweave linen, Aida cloth, waste canvas etc. It is largely a matter of your personal preference.
Just remember: the number of stitches per inch (or per cm) can drastically change the look of your ready project.
Fabric with a higher stitch will produce smaller and finer designs.

You can find fabric for cross stitching in different sizes, colors and types.

Aida, linen and evenweave are the most common types of cross-stitch fabric. The standard Aida fabric is a good fabric for beginners because the holes are large and easy to see.
Note - it is the number of holes per inch that determines the size of your stitches.