Linear progression with cycles seems to work very well for a lot of beginners, but it's hard to convince them to start light and build up slowly, they all want to jump right into failure training and test their strength. I can explain cycles further if you are interested.
If that type of progression doesn't apeal to you, then I would recommend double progression. Stay with the same weight until you get all your three sets of 10 reps, then raise the weight and stick with it until you get all three sets of 10 reps again. Then add more weight again...you get the idea.