Walking foot -- dogs up. Best for straight lines or gentle curves.
FMQ -- typically dogs down, but some people do leave them up. Generally a darning foot is used.
Check out this site for great tips.
http://www.daystyledesigns.com/
It is possible for many people to do queen size quilts on a regular machine. I'm sure you will be doing your smaller quilts in no time. It just takes patience and practice.