Getting started with the basic tools

First I like using the chuck, the cheapest one is the Penn State Baracuda, this is the best deal right now.
http://www.pennstateind.com/store/CSC3000CTN.html 

Or if you want a smaller chuck that would work for boxes and small things.
http://www.pennstateind.com/store/CSC500K.html
 

Next tools, I like the mini set for turning small things.
http://www.pennstateind.com/store/LCMINI2.html 

And possibly some bigger tools.
 http://www.pennstateind.com/store/LXWM1007.html 

Then a sharpening system the One Way Wolverine, or just a little cheaper but maybe not as solid.
http://www.pennstateind.com/store/LCGRIND4.html
http://www.woodturnerscatalog.com/store/Sharpening___Oneway_System___Complete_Wolverine_Sharpening_System___oneway_complete?Args=

A slow speed 8" grinder.

Past that you will find many other things you may need as you get farther into it.