Darning a woven fabric:
Darning with a sewing machine:
Mending small holes in knits:
Pre-treatment in the case of moths:
If the holes in your garments were caused by moths, the first step will be to kill them, and then we can get to the mending. Put your garment in a sealed plastic bag and store it in the freezer for a few days. Take it out of the freezer and out of the bag and allow it to return to room temperature before storing it away again in a sealed plastic bag in the freezer. This will kill any possible larvae as well as bacteria and other kinds of pests.
You can also use a patch, and simply iron it on.
For some fixes we can use a needle but not for stitching. For example, a snag or a loose thread. This video will show you a couple of methods:
