The Kindle's AZW (MOBI) format DRM is circumventable but Sony's LRX format DRM is not. This means that if later on you decide to buy a different brand of Reader AZW ebooks can be transferred (if you strip the DRM) but LRX ebooks can't. However, it is possible to own a Sony but only buy Adobe PDF or ePub ebooks which, like AZW, are circumventable. Also a small percentage of Kindle ebooks are in the TOPAZ format, which is locked to the Kindle. Finally, not everyone agrees that it is legal in the US to circumvent DRM for personal uses such as shifting to a new reading device.
You can share Kindle ebooks by associating them with the same account. One account can have up to 6 Kindles and/or iPhones, but this means that everyone has to buy from the same account. You can similarly share Sony ebooks on one account (6 devices, at least one of which must be a Windows PC), or Adobe PDF/ePub ebooks on one Adobe ID (6 devices, one must be a Mac or a Windows PC). The Adobe option is interesting because you can buy from multiple stores with multiple credit cards because the Adobe ID is managed by Adobe and is just used to download the ebook (not buy the ebook).
Rereading your question, I see that you asked about sharing between the Kindle and the Sony. This is only possible with DRM-free ebooks from, for example, Baen Books (webscriptions.net) and FictionWise. This is done by having the same ebook in two formats, but paying once for the multiple formats. In fact, any DRM-free ebook can likely be converted using Calibre for any reading device. Note, however that sharing DRM-free ebooks may be against the policies of the store you bought them from. My opinion is that if you share paper books with someone then sharing ebooks with the same person is very likely to be legal.
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