If you are looking for free activities, they are much harder to come by!
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Most libraries have free morning story time, just check the library's web-page.
The Fullerton arboretum is a great free place to explore and take nature walks.
Many churches have low-cost mom's groups that allow you to meet with other moms to discuss parenting/life topics - some provide child care, others have you keep your kiddo with you, and are more play-oriented.
Old Town Orange is a fun place to walk, lot's of people out and about, great cafes, and the plaza park.
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Have fun!