Debbie, a word of caution in purchasing a lathe. There are many on the market. Hope you've done your homework before buying.
One piece of advice - don't buy one too small. There is a tendency for new turners to purchase small lathes first. These are usually only good for turning very small items like pens. Get one that has a one meter lathe bed. Variable speed is nice, but you cans save quite a bit of money purchasing one that requires you to change the belt over to three sets of pulleys to change speed.
Realize that to do some fancy turning you will requires special chucks to hold the wood.
A general rule of thumb when it comes to buying any woodworking tool is to buy the very best that you can afford. Often entry level equipment is of such marginal quality the the new user becomes frustrated and discouraged, giving up before they get started.
The extent of lathe accessories can well exceed the cost of the lathe. (I don't understand the big box's strategy either.) Other than a good set of chisels, putt off purchasing these accessories until you've learned the basics of turning. And the best place to learn this is at your local turning club - there are many around.