I’ve done both, though I have been typing mostly over the last couple of years.
There are those who feel that the act of writing by hand, while slower, can have benefits that typing doesn’t. Not sure I believe that, though I do believe that for some, hand writing is just the more enjoyable way to go.
For me, I write in Org Mode, which for this purpose is kind of like Markdown. I use Emacs on my computer, and an app called Plain Org on my phone.