I have recently taken up archery myself!
BTW I live in the UK...
You can buy bows off the net, or in an archery store. Look for nearby or localish brands to save some time. Quicks for an example.
I would recommend looking physically around stores to see how good they are, having a good look round internet stores, and then comparing most of them on the net. EG we found that the quicks store we went to was too small, all the stuff was in their storage so you couldn't see/check it out.
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Have you done any archery before? And are you looking to go to a casual club (I do), or get training somewhere (I did their quick beginners course so I could join the club)? We need more details lol.
Also it depends a bit on where you live for good stores.