You use the word any when you are talking about one or more things from a group, but it doesn't matter which ones you are talking about. For example, "just pick any of those sheep, they all look the same".
You have both of something when you have two things, together. Both means you have all of some things, when there are only two things.
The man in the picture has both hands full.
Many means you have a large number of something. The man in the picture has many kittens.
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This is a photo of me. I made this website.
When you say "me" you are talking about yourself.
This is a way of indicating the current thing you are talking about. For example, you might say "this is my hat" or "should I wear this?".