You'll need a car to get around Artesia since this itinerary includes several location changes. If you do not have a car, consider renting one or using ride-sharing services that are widespread and have reasonable prices. Estimate travel costs to be around $30 and allow for travel time of no more than 30 minutes between locations.
If you have more time, consider checking out the Los Cerritos Center, which features a variety of stores and restaurants. If you have less time, cut out Heartwell Park or El Dorado East Regional Park to optimize your trip's duration.
The nearest airport to Artesia, California is Long Beach Airport (LGB), which is approximately 10 miles away from Artesia.