Moore, 49, who was dressed all in black, shielded her face when snapped by photographers.
The actress was hospitalized after going into convulsions in January. She then sought treatment, took a short tropical vacation and arrived back in L.A. on March 4.
Now Moore is concentrating on picking up the pieces of her life. "Demi is in a much better place," an insider told PEOPLE recently. "She has been working on herself a lot."