That's a tiny pump. Great for fixing a flat on the road, but I would suggest getting a floor pump to inflate your tires before you ride. I check mine before every ride, and end up topping them off every 2-3 rides. Get a floor pump with a pressure gauge.

I notice that you don't have a water bottle cage on your bike. It's important to bring water or sport drink with you when you ride. Have the shop put on a water bottle cage, or two, and throw in a couple of water bottles.