Iron age is the best if you want to stay in an age. But bronze age will also offer the least time consuming quests as your units train in less time and buildings are also built faster. As for goods level up your Oracle of Delphi enough so that you get a good amount of supplies, then move to iron age build cottages they will give you a large amount of population then you can put multiple good buildings producing more goods in less time. I have done this I will attach my screenshot. http://imgbox.com/tkDAsxfk
But the other experienced players might know better as I am also new to this game.
I primarily play on PC but I use the mobile app when I'm lazy or not near my computer. I also suffer from fat finger syndrome like you and u/roo_79 and found the perfect solution: crazy cheap styluses on Amazon (here are the ones I bought). No more fat finger misclicks costing me FP and you can get a set of like 10 on Amazon for $5. (I also lose things frequently, so that set of 10 comes in handy). Totally worth it.