You can not catch a faerie, and you can not "take" their powers. They generally avoid people with such thoughts as it is anyways. I'm sure you could attempt to enact something that you believe would catch one, and upon it having no success, you would probably find yourself with a cacophony of bad luck. Simply because the Fae can cause you bad luck, and because you tried to cause them bad luck, they would love to return the favor.
However, you can form a friendly relationship with them if they happen to dwell or pass by your place of abode. Leaving out a dish of milk and some bread is a good way to show your good will, and like Neko said, you could plant a garden to attract them. But they are beings of vibrational energy to us, and they would sense your ill will in a heart beat. Small gifts are good invitations as well. If you've ever been walking in the woods, and found something like a rock, or piece of bark, or flower that caught your eye for some reason, you could always offer it as a gift to them. Some of them delight in the beauty of what we call simplicity, they see it in a different way.
I've read about people saying they have seen the Fae, however it was unclear if that was in their minds eye or if they actually saw them. On this subject, I always play it safe and assume they meant within the minds eye.