Trace Your Roots With DNA by Megan Smolenyak Smolenyak is a nice book for an overview of the field of genetic genealogy testing. It goes into detail describing the process of DNA testing and discusses what you can expect to learn from Y-DNA and mtDNA testing. Beyond that, Megan has a nice section on starting a group project and has information about where you can locate others in your same haplogroup or surname. Lots of good information here.
My Opinion: Here's another good overview book that is successful at reducing the sci-cho babble to genealogy-speak. It's a book genealogists will be able to understand without running for the dictionary. For me the most interesting parts of her book were specific cases where DNA testing was used to validate relationships, especially with mtDNA which is typically not thought to be used as such.
What's to be learned about haplogroup H: Unfortunately, nothing.