Daily Bible: A regular bible printed on normal pages and regular footnotes etc.
Devotional Bible: The bible text, packaged with chunks of text by one or more authors, designed to help explain the text or otherwise help the Christian reflect on the scriptures.
Study Bible: Big footnotes. Lots of footnotes. Bigger explanations at the beginning of bible books, bigger sections at the back with maps and reference points and tables and lists. Designed to provide commentary on most verses and passages, so that you always have a reference on the page to help explain the meaning of the text.
Reference Bible: Same thing as a study bible. Depending on who wrote it and why, it may include more reference to key texts or traditions of a group or denomination (e.g. early church material, reformation material, creeds, declarations, councils etc)
Thinline Bible: Thin pages. Lots of stuff in less physical space. It's like going from DVD to Blu-Ray, but in paper form.
The most important thing is having a good, consistent translation which you understand, and you won't go far wrong with the HCSB as you have it - but there are lots of others. Translations exist along a spectrum, depending on how much they try to stick to the original text "word for word" and how hard they try to convey it accurately into your own language "thought for thought". The HCSB is the former, most 'reader' bibles tend to be along the second kind.
I haven't seen a copy myself, but the ESV Reader's Bible should be right up your alley - no section headings, no verse numbers or footnotes, just a solid English translation of the Greek text as we know it. I wouldn't go using it permanently myself (footnotes are useful!), but it sounds fantastic and now that I've found out about it I definitely want one for myself.
ESV Reader's Bible
I would really recommend finding a Christian bookshop in your town/city and have a look through what they have - they could probably help you find what you're after, and order it in too if necessary. I'm not typically one to buy bibles online, they're too personal!