My experience (over 40 years of starting up in traffic on fix gears) is that shoes that slid easily over the pedal and under the straps make a huge difference. How you get there with pins I have no idea. (I have done most of my miles using traditional road cycling shoes and aluminum slotted cleats but I also used LL Bean Ranger Oxford shoes with smooth rubber soles for years until they discontinued them. (If I learned they were in production under another name, I'd buy them in a flash. But when LL Bean went to only a lugged hiking sole for those shoes. I tried one ride and after one attempted start-up, took off the brand new shoes and sent them back.)
All of my miles have been with toeclips and straps I've never seen reason to change. I also seek out pedals with nice big pickup tabs or make my own and add them.