The phrase "actually I started" is correct and usable in written English.
It can be used to clarify or emphasize that you began something, often in response to a question or statement.
Example: "When asked about my experience, I replied, 'Actually, I started working on this project last year.'"
Alternatives: "In fact, I began" or "To be honest, I started".
What's your history with/interest in the content covered by EC? Actually, I started my academic life as chemist.
"Actually I started college as a physics major and decided I didn't like the math," she said.
But actually I started getting behind the camera more, every video, the concepts, how the video's coming together, what it's about.
Way back on your first track, Flashlight, it was hard to square your image as Odd Future's tomboy engineer with the mohawk and that angelic voice … Actually, I started taking [singing] lessons about two years ago.
(5) Along the same vein, "I think he should avoid saying at the end of each segment of the class, 'Ultimately, you'll have to decide what to think for yourself.'" [laughter] I should end the class by saying, "You will believe". Actually, I started the class by saying that.
But after receiving a follow-up threat from my daughter ("unfriend paige right now. im serious. i dont care if they request you. say no. i will be soo mad if you dont unfriend paige right now. actually"), I started worrying that allowing parents in would backfire on Facebook.
Actually, I start by looking at the repertory.
When I got cast in Aida, the Elton John-Tim Rice musical, back in 2000 and somethin' [2004, actually], I started training properly.
Quotes of note: "Actually when I started with 'Gravity,' I was not eligible to be part of AARP.
And I had done some directing there, that's actually where I started directing.
Actually last year, I started providing a greater share to our retirement system, thereby taking home less money.
