Aww that's so sweet that you can learn with your grandma, Mindy!
The stitches are the same with either method.
I started off learning english, but I learned continental when I wanted to learn to do stranded knitting. Stranded (aka fair isle) can be done by keeping both yarns in either hand, but I find it easiest to to use two hands and that they get less tangled. Learning continental was also beneficial for a ribbed scarf I made. Now that I know both methods I still find my go to method is english knitting. It's the most comfortable for me so I only use continental for specific situations.