Hi Tim,
Welcome to IceInSpace
If you are focusing OK on the moon, all I can think is that what you are looking at may not really be Saturn?
The rings should be clearly discernible in your scope.
First recommendation is for you to download Stellarium
http://www.stellarium.org/
It is free and very good planetarium simulation software that will help you find and identify night sky objects.
As for upgrading, the scope you have appears to be a 6" Newtonian (on an Equatorial mount).
The 8" DOB you hear about is also a Newtonian, a little bigger but the main difference is the mount (ie a Dobsonian Mount), is easier to set-up and use (plonk & view).