I use Kai Scissors...they are wicked sharp and extremely pointed..they come in many sizes and with curved, bent, and straight points. They are guaranteed and Kai will sharpen them for free for life. They are very reasonably priced. I have at least 8 pair of different types...seems like every time I go to a sewing or quilt show I buy another pair...I am addicted! I have never had scissors of any brand that are as sharp as these are....love them!
I use small snips that are really pointy. Get as close to the line as you can. Don't give up as it jsut needs a bit of practice. My first piece did not turn out as well as i hoped but now I am an expert at it. I use the Havel's snip ease scissors. Google it and you can find them cheaper. Suzanne
It takes practice, and a lot of it for tiny pieces.
I think that's the reason several brands of embroidery machines now offer cutting needles. I especially like the Bernina ones: instead of 4 several needles it has just one that can be turned 4 ways (but I don't have a Bernina). But the designs have to be made for the needles or you need the right software to add the cutting lines yourself.
I also use small curved scissors and have never had any trouble. As with most things - practice is the answer.
I use cuticle scissors. Are you flipping the scissors when necessary? Make the curve of the scissors match the area you are cutting.
I use small scissors that have a curved blade. From what I have been told it takes practice. Well I need a lot of practice but I keep trying. Good Luck, will be watching for what others have to say.
Iva