Welcome from Texas!
The very first quilt project I did was a 9 patch table runner. It was 3 colors, a focus fabric (medium print), and then I chose 2 colors out of the print, 1 was alternated with the print (green) and the other the first border (coral). The print was the second border and the alternate color (green) the binding.
The squares were 3 inches (finished size) and I made three 9 patch blocks. The first border (coral) was 3 inches wide and the second (print) was 2 inches wide.
It is a simple project and lets you learn the whole of the process in a small manageable piece. You could use this simple pattern to make a child's quilt easily.
I snapped a pic with the cell phone so they are not great but you get the idea. The second has the dimensions on it. Hope this helps a bit. Mostly just have fun :)
table runner
[ATTACH=CONFIG]29651[/ATTACH]
3" squares, 9" block, 2 borders 3" and 2"
[ATTACH=CONFIG]29718[/ATTACH]