My favorites are log cabin and mariner's compass.
Loretta, I agree with tlrnhi that you should try paper piecing. It isn't difficult, it's just different than regular piecing. Check out these sites and give it a try :D :D :
http://ajpadilla.com/beginners-corner/paper-piecing-tutorial
http://www.nmia.com/~mgdesign/qor/technique/pfp.htm