tame animal

Roll charisma must be 10 plus the creatures charisma modifier Or the DM can change depending on how hard the roll should be for the creature.

the higher level is gets easier to tame creatures there is no limit to the creatures but depending on how hard it is to tame the creature the creatures will need attention

they might start to ignore you and might leave.

and if they leave they might just need attention or they are not tamed any more.