Checking your cable ends for clean and tight connections is the first place you start.
With the cables removed, clean both the inside of each end until they shine, then do the same thing to the Battery posts.
With the cables removed you can also do a fast, "Cheap and Dirty" battey test by hitting, yes hitting, both battery posts at the same time with an iron bar or a wrench or even one jumper cable.
What you're looking for here is a Hot Spark and a PoP when you hit both posts at once.
No PoP or No Hot spark and your battery may be bad.
If you've let the battey set, with out trying to crank the car, for at least an hour, a good battery will recharge itself to start the vehicle, if it hasn't been run down too much.
If your battey checks out, take a jumper wire, preferrable with an Alligator clip on one end, and attach it to the small wiring lug on your starter solenoid. This is the Ignition Solenoid Wire connection.
With the wire connected and your battery cables all clean and tightly attached to the posts, touch the other end of the wire to the Positive battery post.
If it cranks, you're probably Ok. to go.
If it just clicks, like it has been doing, you probably have a bad starter.
If you want more help than I can give you here, ask for the help you need by going Chevy's at www.KeyandIgnition.com and use any contact link there for the Ignition "How To" you need.
Column and Igniton work over 20 years and 13 years a locksmith. The website focus's on Transponder ignitions and keys you can program yourself, but repair help is available.