A complete search of the internet has found these results:
moving forward is the most popular phrase on the web.
Both of these expressions have the same meaning when used as an idiom or introductory phrase, which means "after this point in time." However, when used as a verb phrase, the verbs "moving" and "going" may have slightly different meanings.
6,213,000 results on the web
Today is about celebrating her and moving forward.
Look, the important thing is that you're always moving forward.
I'm moving forward with Mine.
You know, we actually have a couple of griffin projects that are moving forward.
That's exactly how we make choices--by moving forward.
Davenport won't risk moving forward if there's an outsider who knows about this.
Feels like both our lives are really moving forward.
I was hoping, moving forward, things could be different.
No, he's moving forward, and quickly.
Okay, the campaign staff search is moving forward.
Moving forward, I think we need to have a better plan for these tasks.
Moving forward, you are no longer allowed on the computer in the evening, son.
2,907,000 results on the web
There are a few stipulations, though, going forward.
Then, we have no choice other than going forward with our original strategy.
We got to be really careful going forward.
We're going forward with renewables.
There's a lot of good opportunities, going forward.
That's what we have to contemplate going forward.
I want there to be... a consensus going forward.
Yet, subconsciously, you seem to be resisting going forward.
And that civil lawsuit is still going forward, right?
I'll continue to ask for your help going forward.
Going forward, this new law will prevent such things from taking place.