According to Bespin Bulletin, Star Wars: Skeleton Crew began production around the end of June, and according to their timeline will continue filming until December.
Shooting is taking place at Manhattan Beach Studios, also a filming location for The Mandalorian, The Book of Boba Fett, Obi-Wan Kenobi, and Ahsoka. In addition, Bespin Bulletin mentions that the show will also film at a studio in Culver City and at California State University in Dominguez Hill. It was separately reported by The Hollywood Reporter recently that the first season of the show has a budget of nearly $136 million.
Skeleton Crew was a long-rumored production (under the codename “Grammar Rodeo”) that was confirmed at Star Wars Celebration. The show is directed by Jon Watts (director of the Marvel Cinematic Universe Spider-Man trilogy) and stars Jude Law (known for his roles as Dr. Watson in Sherlock Holmes and Albus Dumbledore in Fantastic Beasts: The Crimes of Grindelwald, among others). Law remains the only announced cast member (none have been reported yet, either), but we do know that the show will focus on a group of ten-year old kids who get lost from their and must find their way home in the galaxy.
The show is set to be released on Disney+ in 2023 and will be set within the same timeline as The Mandalorian and The Book of Boba Fett, seemingly being a part of the growing Mandoverse on the streaming service.