How do I proceed to seriously study Buddhism?
For those (relatively) new to Buddhism here is what I'd (generally) advise in order:


Read Bikkhu Bodhi's In the Buddha's Words: An Anthology of Discourses from the Pali Canon as this will ground you in the Buddha's own words.
Read HHDL and Thubten Chodron's Buddhism: One Teacher, Many Traditions which will give you a respectful overview of the different traditions extant today and where they agree and where they disagree. Note this book is product of extensive consultation with experts in other traditions and their viewpoints are included. Among those other experts are some that you cite above such as Bikkhu Bodhi, Thich Nhat Hanh.
Find a local community of practitioners and sangha that follow one of the traditions outlined in #2 that fits your interests and predilections. In particular, research the community and the teachers to make sure they are valid. After you've made some investigation you can ask others here which communities do a good job representing the various extant traditions.
Really buckle down and try to understand whichever tradition you've picked in #3 and concentrate on that tradition. Don't go picking different ideas from different traditions until you've first really grokked your own tradition otherwise this will likely lead to a lot of confusion.


I am partial to the Mahayana as taught by the Gelug tradition of Tibetan Buddhism that is authentically taught in the West by the FPMT community and the community at Sravasti Abbey in Washington State. However, there are very good Theravada traditions and teachers and some individuals will be better off with them. Not everyone is the same and you'll have to make your own decisions as what is best for you. Trust yourself to do so.

Hope this helps!