However, I don't want to wear those clipless shoes; I prefer to use my normal shoes and I am willing to lose some accuracy for that.
Is there any way I could use a pedal-based power meter with my normal shoes?
******** Update: 2 years later! ********
After reading the comments and answers here and thinking more about it, I realized fixating on power pedals wasn't necessary! so I got a Stages crank power meter for a reasonable price and started collecting power data about my rides without having to change pedals which was ideal for my case.
I am happy with this choice. I am not a professional rider nor I am using this information to enhance or adjust my training. I just want to keep track of the power I am exerting on each ride and attach it to my Garmin/Strava rides. For example, sometimes I feel extra tired so I check my performance compared with other rides. I found out that feeling tired most likely means I was putting less power (not more!) and it usually means I didn't eat well or get enough sleep etc. Another thing I found was when it becomes windy I feel I have to exert more power but checking my stats later I didn't find that I was putting more power so it looks like the wind is making it difficult for me to handle the ride and slowing me it but doesn't mean I am putting more power.