Yes to above. I use similar, a Tri Clover to barb-tail to do closed keg transfers and to also purge the keg to begin with works well. Simple as and you don't need to use CO2 to achieve it, just gravity and 20 minutes or so. Lay the keg on its side with business end propped up on a pair of boots or something, liquid to liquid, gas to top of fermenter (gas post up) until its fill or there's beer in the gas line. I usually run some out into a 500ml coke bottle and force carb it for an early taster at some stage.
I'd swap my barb out for a TC with keg post as it'd be easier and have less risk of significant O2 getting into the lines changing over. If you're smart you can purge your lines during the ferment too.
Also, I wish I'd just bought all gas connects and swapped my liquid posts out on the kegs to simplify EVERYTHING.