Reddit mentions of Development of Geocentric Spatial Language and Cognition: An Eco-cultural Perspective (Cambridge Studies in Cognitive and Perceptual Development)

First thing's first, "primitive psychology" isn't a thing and is actually pretty racist. I would use "traditional societies" although I understand that means something different in sociology. Anyway.

For cross-cultural variation in spatial language and cognition, Levinson 2003 (pdf) is the go-to book. There is also a book by Mishra and Dasen which I've only recently started, but so far seems good. It's less of an overview and more advanced than the Levinson book. Those books will probably give you all the citations you need but if you have more specific requests, I can give you more.

For perceptions of time, Rafael Nuñez and others at the cogsci department in UCSD are a good place to start. You can see his publications list here. You'd also do well to read about grammaticalization of temporal categories such as tense and aspect markers from spatial categories such as locative adposition (which also segues into your next question). This book is probably the best for that, but be warned that grammaticalization is an advanced linguistic concept which you will have trouble understanding without at least an into class's worth of knowledge of linguistics.

Other than grammaticalization, you will want to look at linguistic typology. Again, this can require a fairly advanced knowledge of linguistics to properly understand. With anything typology, the first place to start is the World Atlas of Language Structures (WALS). The stuff you're interested in will be here under "verbal categories". It sounds like you might also be interested in the "Lexicon" section as well. Here on WALS you can find maps which show you what languages across the world do things in what ways. You might be interested in 65-78 and 129-143. There's more on typology, but I'm not really sure what the best works are. I can throw out some names though: Bernard Comrie, Greville Corbett, Martin Haspelmath, Johanna Nichols, Balthasar Bickel and Anna Siewierska.

For more poppy books which talk about cross-linguistic diversity, try When Languages Die by David Harrison and Dying Words by Nick Evans.