I have to send money to someone using BitCoin and I want to remain fully anonymous to the recipient and to the public.

I have read a little about this subject and I've read that all transactions are public. So my questions are:

1. What information can be known to (1) the recipient, and to (2) the public?

2. I do not want my real name, address, email or phone number known to anyone (recipient and the public).
I am fine with anyone knowing the amount of the transaction.

So how can I stay as anonymous as possible? I want to jump through as little hoops as possible.