Least stats

im sort of new and im trying to get some high-ish stat horses so when i start breeding i dont get low horses that i have to work on alot but what should be the minimun i should look for? and aside from treats how do i up my current horses stats? its turning into quite a chore.
Thanks

I like a conformation 60 or higher. I'm not picky about stats if they are young with decent conformation because stats can be raised.
Showing also increases stats.

Well, stores start at 100 stats and anything more then that is a good start. :)

I keep seeing store horses in the Rescue Center with conformation around 51 to 55.
I'm not sure if that is truly the norm or if those are just the ones left at RC. I would think however stats should be 100 at least on a one year old horse and conformation should have no areas less than 50. That is just my opinion however. Good luck in the game.