WoW Classic Level 10 Pet Quest for Troll Hunter
This video covers the Taming the Beast quest chain from the point just prior to Thotar offers you a taming Rod for just a Dire Mottled Boar in Razor Hill. Thotar gives you a series of 3 taming rods, every one is different and allows you tame beasts in the next order: Dire Mottled Boar, Surf Crawler and eventually an Armored Scorpid.
Once you've completed the taming Component of the Quest chain, you need to head to Orgrimmar and talk to Ormak Grimshot inside the Valley of Honor so that you can unlock your pet handling skills: Tame Beast; Feed Pet; Revive Pet; and Beast Training.
Finally, don't forget to go to the Pet navigate to these guys Trainer and get the Pet capabilities that you will have to give to your pet.