On topside, start at your blue with bot leash. Kite blue towards gromp to save rampage stacks, get your W for lifesteal and kill gromp, go to wolves and rampage on them too. Ideally you should kite them across mid but that's hard sometimes so just do what you think you can, hopefully saving rampage stacks. Smite raptors if you didn't already use it on wolves and clear your red as well, kiting raptors to save rampage stacks. On botside you do red > raptors > krugs (sometimes skip krugs depending on enemy jungler for first clear) > wolves > blue > gromp. At this point scuttle should be up and normally I go for krugs after scuttle. Go try to grab it, if there is an all out war see if your mid or top can help because hecarim isn't the best scuttle fighter in earlygame. After, clear krugs like usual and look for a gank opportunity on mid and/or top. Normally I don't go for early drake with hecarim because of his questionable lifesteal, so you should probably back at this point and start building one of the two builds I put earlier based on your tryhard level.

Hecarim isn't the biggest farming jungler, and once you have your E + R you can gank like a madman. How you do it is you run out with your E, then once you knock them away from the group you R to make them flee right into your allies. You can then start rampaging on them while your laner pitches in as well and they will lose every time. While your ult isn't up, you can still gank but generally it's better to farm for a bit then.

After the laning phase, conserve ults for teamfights to knock the whole team into your allies. Not much else to say here, go for drakes/rifts when possible of course and prioritize ganks over farming generally. Go for the earlier ends possible as well because hecarim does fall off a bit in late/ultralategame. GLHF!