How do I export world and its player data to another android device With and Without Realms?

So I'll be changing my outdated phone and I need to transfer my world to it. Its my first survival world journey that ive been playing for almost 2 months now and I cured villagers, had A RIDICULOUS anount of pets that I don't wanna lose, as well as my exp. When I try doing the traditional method of accessing the world file and copy&zipping it, it never transfer the data that I had playing on the game, I don't get discounts, The pets I tamed are all scattered and im unable to make them stand or sit, and my exp are gone, all are reset and I am back at the spawn. How do I transfer the world WITH my data in it to my new phone. PLS HELPPP THANKSSSSS