Looks like you are a new woodturner, here are a couple of good books on woodturning.
Taunton's Complete Illustrated Guide to Turning (Complete Illustrated Guide) (Hardcover) by Richard Raffan
"A Foundation Course in Woodturning" by Keith Rowley
My next recommendation would to checkout the American Woodturners Association site and look for a local tuning club.
http://www.woodturner.org/community/chapters/Tools, never buy too cheap. Buy a lathe that has at least a #2MT in the headstock and tailstock and threads on the headstock of 1" 8TPI. There are more and better accessories for these models of lathes at reasonable prices. Drill press, get the longest quill throw that you can afford. In the saw category, go with a bandsaw first, then the others, to me the bandsaw id the most versatile, my next choice would be a compound miter saw. Chucks, I would recommend the Barracuda2 from PSI, not the best or most expensive but good chuck for the cost and it has all of the jaws you will need. The next chuck would be a Jacobs chuck to fit you tailstock, check out The Little Machine Shop they have a good selection of Jacobs chucks at reasonable prices. Turning chisels, for starters get the Harbor Freight set, 8 chisels fro $40, they are HSS and worth the money and a good set to learn how to sharpen your tools. Sharpening system, wait until you find a woodturner to help you choose or my choice would be a slow speed grinder with a Wolverine system.
From the above tool, lathe, Jet Mini or the Delta Midi are the top choices, check on Amazon for the best prices. Bandsaw, mine is 30 plus years old and still works, if I had to buy a new one I would go with the 14" Grizzly band saw, about $450, the miter saw, and of the name brand in 8" or 10" sizes, on sale about $150. The Barracuda2, around $150 on Amazon, Jacobs from LMS about $20. Sharpening system budget about $150 for starters. Chisels and other misc. tools budget about $100.
Supplies, sandpaper, finishes, (lots of finishes), wood, reeds, toneboards, slate and the list goes on. Just plan on a lot of money.
Marvin