I am not sure what a "cycled tank" is, but if you mean a regular Fish Tank, you can keep anything you catch locally as long as it has enough room to swim around.
Years ago I caught a tiny bass and brought it home and put it in with my tropical fish. He ended up in his own tank because of his habit of eating the other inhabitants. I kept and watched him for over 5 years. He grew from about 6" to over 18" and when I released him he weighed just a shade over 3 lbs. I learned many a thing from watching him feed.
If you have city water you will have to fill the tank and let it sit for while or get one of the compounds that remove the chlorine before you put any fish in it. If you do this, take and post pictures, as I am sure you will be amazed at the some of the things you will learn.