I don't think English has the right words for this. There is no word that simply describes the act of holding food between the chopsticks. instead, you can describe an act, and that you used the chopsticks to perform this act.
I am holding the food with my chopsticks (suspending it in the air, to show it, not to eat it)
I picked it up with my chopsticks (the act of grabbing it, and lifting)
I ate it with/using chopsticks (describing what you did (eat) and what you ate with (the chopsticks)
I put it in my mouth, with the chopsticks
You pinch it like this (demonstrates the use of chopsticks)
I lifted the food from my bowl to my mouth with the chopsticks.
I balanced a mouthful of Rice on top of my chopsticks
Get - would imply that you went somewhere, took hold of the thing, and brought it back. This would not fit with chopsticks, as you don't travel to your food and back with chopsticks.