Ann Logan

I assume that you yourself understand this, but still I will say. It is very important to wash your hands before touching the fabric or thread. Of course, you are going to wash the finished cross stitch design, but why make it dirtier?
In case you use a thread or fabric that is hand-dyed wash them in advance so that they do not stain your handwork.
Unwind your thread from time to time. Just leave the needle and let the thread loose - it will unwind itself... Or help it a little to unwind.
Do this every few stitches, otherwise the texture will be uneven and the fabric will show through your stitches too much.

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.