When you're comparing two things, you use a coparative adjective like this:
She's taller than he is.
I'm more scared now than I was the first time.
If you want to describe the amount of difference between two things, you can use the phrase "quite a bit":
She's quite a bit taller than he is.
I'm quite a bit more scared now than I was the first time.
"Quite a bit" is something in between "a little" and "a lot".