I'm thinking of getting into Archery. What should I do to get started?

Work at a summer camp that teaches archery. The staff (or at least willing members) will be trained in archery in order to teach it. That’s how I learned!

Check Yahoo.com. look for the site you are talking about. there are archery clubs all over America.

I was very much into archery in my younger days. I never joined any clubs or team, but I researched it on my own and casually competed with my friends. I would recommend a fairly high quality bow to start. Check out:
http://ohioarchery.org/oaa/index.php?option=com_frontpage&Itemid=1

I teach Archery at summer camps, but I only know how you can get into it in the UK I’m afraid. Good fun tho, hope you do get into it.

I would start by reading about the techniques used by one of the greatest archers in the world:
Hunting With the Bow and Arrow, by Saxton Pope. It’s free at Project Gutenburg.
http://www.gutenberg.org/dirs/etext05/8hbow10.txt
This not only describes in detail the techniques of Ishi, the last Yahi Indian, but it also tells a bit of his story after he was captured and given refuge and living quarters in the Anthropology Department at the University of California, San Francisco in 1911 where he met proffessor Saxton Pope..
http://en.wikipedia.org/wiki/Ishi
Chapter 8 covers shooting technique. The book also describes how Ishi made his own bows and arrows, the wood and obsidian he used, how and where he chose the materials, and his incredible scores in target shooting while using these.

From Wikipedia:
“Today, an annual archery tournament called the ‘Ishi Tournament’ is held in the Yuba-Sutter community, about 40 minutes from Oroville, California. The tournament is open to both youth and adults, testing their skills in comparison to Ishi’s archery skills. Two awards can be earned during the tournament:

The Ishi Certificate is awarded to any archer who can hit all 30 arrows to a 20 yard target, get a score of at least 99 to a 40 yard target, and have one arrow reach 100 yards.

The American Ishi Degree is awarded to any archer who can match Ishi’s 1914 archery scores or better. This award only goes to an average of 1–3 people a year, due to its complexity.”

Here’s a start as well: http://nfaa-archery.org/
What part of the country are in in (assuming US)? I can give you a lot of specific information for California.

I loved archery at camp also and clearly remember the dramatic and ever-present bruises caused by the bow string whanging against my inner arm.

absolutely get an arm guard

@mass_pike4: Now you tell me.