How to replace the small hose into radiator on my cavalier?

SOURCE: 2002 Chevy Cavalier how 2 replace radiator hose and a belt

First thing I would do is get your supplies. Antifreeze, lower radiator hose, 2 new hose clamps, serpintine belt, and I would purchase a Chiltons repair manual for your car. It is abour $15 for the manual but it will cover about very repair you will need to make as time goes on.
On newer cars you have to hold the automatic tensioner back with a wrench as you uninstall or reinstall the belt. Make sure you know or remember how the belt runs. You can put the belt most of the way on, then hold back the tensioner for the last step.
For the lower radiator hose, you need to drain the antifreeze from the radiator. The drain plug is usually on the bottom or the on the bottom engine side of the radiator. Make sure you drain it in a pan/ bucket/ pail as I believe it is against the law to drain it out on the ground and watch that pets/humans don't drink it because they will die. After draining it unsrew the clamps holding the hose on and remove the hose. Sometimes the hose will be stuck and twisting it or running a screw driver between the hose and the fitting will loosen the hose. Put the new hose on with the new clamps. I always use new clamp so you don't have to trust the old beat up/ stretched clamps. But don't throw out the old ones, as you may need them for an emergency repair sometime. Either put the old fluid back in(if it is still good) or put in the new stuff. Make sure you get the right mixture. You will need to run it a while and have the mixture checked.
Like I said about the book----it should cover both of these repairs, and tell you when to do routine maintence, the capacities of your fuel tank, radiator, oil, transmission, etc.

I hope this helps