Trying to type in Russian script...

I am taking Russian as a second language and want to work with Russian on my computer to better learn the language. I have already figured out how to change the settings so I can type Cyrillic Russian in pages, but I would like to know if there is any way to type in Russian script (i.e. handwriting in cursive in Russian).

There are different fonts to type English in script, so what's the trick to Russian script?

Thanks