Unfortunately, you can't just "move to America", it is far from that easy. There are only three real ways to do it legally, if you are a Brit:
1) Family. Marry somebody with the right to be in the US, or have family members that are citizens.
2) Get a job. This seems easy, right? Wrong. Employers looking into hire workers from outside the US need to spend a lot of money to get you in, up to $10,000 per employee. Employers need to prove that you will be better at the job then an American, so you need to have a key skill, or years of experience. If you lose your job, btw, you have two weeks to find a new one, before you're breaking the rules of your visa.
3) Entrepreneur. You can buy your way to American residence. You just need a lot of money. Enough money, in fact, to start your own business and be able to support it and yourself throughout the "start up period". There are no fixed numbers for this, you just need to convince the American Government that whatever you have is enough to start and support a business for an amount of time, dependant on how long they think it will take for the business to become self-reliant. According the the Internet, they allow you in if you have $50,000 and a plan for a small business out of your home, or something. Try to add a shop or something like that, and it's going to balloon to include all of that overhead.
And that's basically it, for a Briton. Becoming an American resident takes time and money, no matter which path you take. I know that you're quite young, which is beneficial. I was young when I decided I wanted to move to the USA, so I was able to direct my education to help me get in via (2).
EDIT: In response to your question as to whether you should. That's down to you. I wish to move to America because I love the culture, the politics, the institutions, and the optimism. Those things may not appeal to you. I'm personally gunning for a state like Arizona... lots of hot weather, a beautiful desert climate, and a relatively short distance from all the great cities of the South-West. The South-West, in general, is my favourite region as it embodies a more libertarian nature compared to other regions (Pacific = liberal, North East = moderate, Mid-West = conservative, South = neocon).