Yeah, .012" are plenty. .015" would probably work OK if that is all you have. The new rules would probably allow you to drop down a size, but then they are more fragile and harder to take care of. At the KidVenture venue at Oshkosh, the TuffBaby models we fly are powered by Norvel .061s and we fly those on .012 lines that are 42 ft. long for calm days, and drop down to 38 ft. or so for windy days. We use the .012" lines because they are more durable. The 50 to 52 ft dimension is a good one also. SIG sells a line set that is .012" by 52Ft. I know it's a trainer, and you won't be trying any stunts, but it's never too early to get in the habit of getting consistent engine runs, and finding that lap time that you are comfortable at. If you can't do it yourself. Have some one time your laps on short flights. Anything near 5.5 seconds is acceptable and easily attainable. A constant speed gives a good pull at the handle so that you can develop a "feel" for the model and the control response. This will also help you start to develop a natural rhythm for when you are ready for stunts. There is another thread on the other site about using your wrist or bending your elbow for controlling the airplane, and I vote for wrist action. Fly the model like you drive your car or ride your bike. They both take constant "steering" to even go in a straight line. Same thing with your trainer. You have to "drive it." As you go up, you know that you will have to come down so be ready to apply the correct input. Keep in mind that it is proportional. Move the handle a little, and the model moves a little. Think smooth movements and think ahead of the airplane.
Good luck and have fun,
Dan McEntee