"purposefully moving" is correct and usable in written English.
You can use it to describe an action that is intentional or done with a specific goal in mind. For example, "He was purposefully moving across the street, looking for a place to stay."
But it's what you're gradually, consistently, purposefully moving toward.
"Is Clancy grumpy?" she asked the Ouija board, purposefully moving the hotel keycard across the letters to spell out Y-E-S.
L.A.'s Bixel Boys have been purposefully moving away from the hard-fisted EDM music of their early years into a more spontaneous sound that pulls from a wider array of genres (a good decision, all in all).
My rule of thumb when talking with students about these types of issues is to make a case for individuality, being a trend-setter, and purposefully moving away from what everyone else wants.
But she purposefully moved the family into a modest two-bedroom apartment just within the Beverly Hills school district, because it offered such a good education.
The behavior studied in today's published report is quite subtle: two monkeys were trained to purposefully move their eyes to a target on a screen when given a cue.
In fact, we can purposefully move from feeling bored to feeling inspired.
We walk and bike and purposefully move slowly than we might have at other times.
It sounds simple, but it's tough to purposefully move your body without actually looking at it (plus, there aren't any mirrors in the studio).
He places himself in that category once upon a time, at least where he and The Roots would purposefully move against what worked.
Clinical evidence that cortical deafferentation plays a role in phantom pain generation comes from observations that phantom pain may be relieved by imagining stretching movements of the hand, or by using a strategically placed mirror to give the illusion that the missing hand has returned and can be purposefully moved (Ramachandran and Hirstein, 1998).
