And I am absolutely terrible in it. In large books it is fairly doable but in small books it is quite hard. Look at the pictures the dirt is caused by semi-dried-up glue from retrying and retrying.
Since your book is small, use thin cover wrapping (so not thick leather or something like that) I used something I thought was thin but it was not and I screwed up.
Secondly, use BAD GLUE glue that dries very slow and doesn't stick very hard so that you can redo things several times. I made my bookbinders glue bad by adding a lot of water (but it still dried too fast) maybe use some "pritt stick" or something like that.With my watery glue, cardboard back and covers got a bit wet and they deformed a bit sadly enough.
So, first of all, cut at both sides of your book, at both top and bottom a small slit in the paper between your cardboard back and the cover. It's easy with some scissors
Then, cut some piece of your cover wrapping about the size of your book and a littlebit more (about the size of your slits more).
Apply the bad glue on the entire piece of wrapping and the outside of your book and wrap it around the covers of your book. Use 2 toothpicks to press the wrapping inside.
Then, cut the corners of your sheet of wrapping but beware! Don't cut of too much because it will look really bad! Instead use a piece of cardboard of the same thickness as your covers and mark a line with that piece of cardboard one thickness away from the corner of your cover. Then cut off the corners.
Press down the covers and pull up the papers of your book to spread open the slits you have made, fold the wrapping on the the edge of your cardboard back into the slits. this is quite strange and difficult. But look at the pictures.Use a pencil or a stick to press it in as deep as you can.Do the same for both top and bottom.Watch out that you don't peel of your headbands!
Fold over the entire top and bottom wrapping
Then fold over the piece of wrapping at the ends of your cover but watch out at the ends! It is easier to first press up on the wrapping at the corner and then gently pull the rest of the wrapping over it.I know this is explained a bit strange but it is quite intuitive when you do it. The point is that it has to look nice (sort of nice in my case).
Then press the toothpicks in the joints between the covers and the back and put it in a press or in my case stack a lot of weight on it.Also place some papers between the covers and the rest of your book first so that the pages aren't glued to the covers.