Hi RR. I am certainly no expert but I will share what I know. A triple has 3 chainrings - usually the largest is a 52 tooth, then a 42, then then smallest is a 30. A compact has two chainrings with the biggest usually a 50 and the smallest a 34.
I have always ridden with a triple and also struggle on hills. Recently I rode a friend's bike that had a compact double and the hills seemed easier. It all has to do with gear inches and math I can't figure out! I am considering switching from my triple to a compact at some point.
Oh, and the cog on the back of my bike (with the triple) is a 12 - 27; the one on the compact was an 11 or 12 - 25. To me, climbing in the compact should have seemed harder but it didn't.
"When I'm on my bike I forget about things like age. I just have fun." Kathy Sessler
2006 Independent Fabrication Custom Ti Crown Jewel (Road, though she has been known to go just about anywhere)/Specialized Jett