As Leela mentioned there are different techniques to nail trimming. Leela, I'd love to see what the mesh nail trim pouch looks like, sounds really neat.
I use the slant or angled nail trimmers, so you can see better.
Because of the fact that your baby is very new and still scared, it may be easier to take her to the vet for this time. But, remember that while nail trimming can be traumatic, usually they recover from it quickly.
I personally use a very different technique for nail trims, it's called the mealie method.
Here is my prep set up for nail trims, notice I have all I need set out a head of time. I do this anywhere between late morning and early afternoon (preferably before 1pm) when they're sleepy. I make sure I'm in a well lighted area and have my reading glasses there as well to help me see better.
After setting up, I place all three of my gliders in their canvas travel carrier and take one out at a time.
In the next photo, you'll see my lovely Skadoosh being my model. You will also notice I'm not holding the nail clippers and showing actual trimming because I was taking the pic with my other hand, lol.
My girls are very used to this method, I can get all their nails done and even run the emery board over the fresh clipped nails to dull them a bit to avoid snagging. My boy Ollie, I haven't had as long, we are still working on this method it is getting so I can usually get all but a few.