You are definitely going about it the right way. Kids need to catch fish to stay interested and bream are almost always willing.
I started by taking my daughter bream fishing at a local park. She also likes going trout fishing with me. In the past, I have carried her on my shoulders out into the river (at Miller's Island, for instance) and found her a rock to stand on. She'll be turning 7 this year , so she is now the proud owner of a pair of waders.
It's too bad that we don't know anyone with a farm pond around Knoxville. Those ponds are usually loaded with eager fishes of all shapes and sizes. That's where I cut my fishing teeth. Times change, though, and access to private farm ponds is now nearly a thing of the past. I'm in the process of fixing up an old 12' v-hull jon boat to take my daughter, and now my son (3) fishing on some of the local lakes.
Good luck, Travis.
"Many men go fishing all of their lives without knowing that it is not fish they are after."~Henry David Thoreau