Thanks for your recommendations. I'll take a look at them later on. In the meantime, then here are some pics of my bike.
I'm a little bit worried that if I go for a handlebar with shorter reach, that it won't be as comfortable going down on the drops. But then again, I probably won't be doing that so much because I'm rather stiff.
I mostly feel safe with my hands on the top of the shifters, and my fingers on the breakes all the time. Especially since I ride with traffic sometimes and want to be able to react and break as fast as possible if something goes wrong.