I use the throttle trim for fine tuning the neutral position. Not sure if that's good....
If you calibrate your ESC, which you tyically have to do anyway, that sets your neutral position, so there is no need to set your throttle trim to do that. Any time you turn that knob away from zero, it is likely right on the edge if tripping your failsafe.
@BigBaja
A better radio is what you need, and probably a better ESC. Maybe motor too. The ready to run electronics are typically the cheapest stuff they can put in the RC.
A radio that has throttle curves (Exponent or EXP) will allow the throttle curve to be adjusted to ease in. Your radio will follow the red linear curve. A radio with an adjustable curve will allow a smoother start like the green line.
The cheapest good radio with EXP adjustment is the Flysky GT3B. Usually less than $40 with receiver.
From there, your motor is just a standard brushed motor. It's smoother than a non-sensored brushless setup, but most decent sensored brushless setup will be smoother. Then the next step is a motor with FOC. These along with an FOC ESC are super smooth. But if you want to stay brushed, check out Holmes Hobbies CrawlMaster motors. They have more "slots" in the armature wich makes for smoother operation. Your motor has 2 slots. Meaning the armature spins halfway around before the magnets are alingned. Holmes has some with 5 slots. So the distance from magnet pole to magnet pole between the armature and stator magnets is a lot shorter, making for smoother throttle control.
A better ESC is a big plus as well. Look at a Holmes combo to get the best brushed setup.
But if you really want to smooth things out, look at a Hobbywing Fusion Pro or Fusion SE. It has the ESC built into the motor, so it eliminates a piece of hardware. And they use FOC technology (field oriented control) which is as smooth as it gets.