Help Wanted - Quick, Machine Based Weight Routine at Gym

Hi all! I recently re-joined my gym and would love some recommendations on a basic weight training routine to get me started! My goals are weight loss as well as toning/definition. I have weight trained in the past, but don't feel confident enough to set up the right routine for myself, as it's been a while.

To begin, I am planning to go three days a week, and add days as I can. I'd like to start off with about 15 minutes of cardio, then move to weights. I work very long hours so I am looking for maximum efficiency, in and out! I know there is no quick fix, but just need something easy to get me started and in a routine of going and seeing some results to keep me motivated!

I would prefer to use the machines, as there are more of them at this gym than free weights, and free weights seem to be monopolized during the times I will be going.

Your suggestions are VERY much appreciated!