I have telekinesis and can move objects by just thinking about it.  Who do I tell about this weird phenomena?

Sure you can, Pal.

Don't tell them. Show them. Demonstrate your abilities. I bet you can't. 

You could tell me if you like. I have to warn you, it will take a demonstration to convince me.

Anonymous strangers on the Internet, of course. That way you can't be called out on your boasting. Charles Xavier is the founder of the X-Men.

You should tell a psychiatrist about it because if you really believe that you have an impossible supernatural power then you may be suffering from delusions.

Show me! I know somebody that is offering a $1 million reward for anybody that can demonstrate psychokinesis.

I'll split the money with you if you can really do it

Get a job with a circus.  Although Ringling Bros/Barnum & Bailey went out of business, there are still a bunch of touring circuses in the USA.

The Amazing Randi's foundation. He might be dead, but his challenge and the reward go on. 

If you can demonstrate this power, let them see it to make sure it's not done through fraud and fakery...you stand to win a huge chunk of money. 

Tell your hamster I am sure it will be interested.

You need to seek out Charles Xavier.