Sorry for the late reply.
For this posts reputability please refer to my kindreds ranked win rate (81%)
Bork, trinity and bloodthirster are bad buys, his is because kindred does not scale with attack damage they scale with armour shred/penetration so your runes first off need to be penetration runes mostly.
As for the build bloodrazor yup that's my main buy however straight after is hurricane this alone gives her tons of early game power and more burst as you trigger your E on targets a lot quicker.
After that buy black cleaver, then maw if you need resist or if you need armour but sterraks gage, however if your facing an ap jungler after bloodrazor buy hexdrinker then go on to build hurricanes.
After that ghost blade/blood thirster/guardians/infinity are good buys.
As for camp kiting use the walls, pull them and hop over the wall press W hop back over and of course use the full leash (I still can't do this all he time 100%)
As for moves I'm not sure if you do but always take W first it's deceiving but does more damage than q or E and max w first so go W>Q>E max W then max Q and E last.
Edit: try not to use Q or E in your first few jungle rotations otherwise you'll find mana depleting quickly and your banks will be limited and you really want first blood if you can get it.
Last thing try NEVER to use E on jungle camps if you can help it as it really does deplete your mana once you have bloodrazor you clear super fast anyways
Of course use it on dragon and a baron.
Sorry I swear this is the last point, you can solo drake at level 5 incredible fast just try to have raptors to sweep quick.
And a little trick if you just before the auto attack animation ends press Q when you lane you fire two shots so you can stack your E and prof it almost immediately for burst on ganks (or team fights)