If I were going to choose one publisher for everything...oh, boy, I don't think I could choose either ABeka or BJUP. I like ABeka's science and history better at the elementary level, and BJUP's English and math. Hmmmm...I guess if I had to choose *just one,* given those two choices, I'd choose...boy, that's tough...ok, I'd choose BJUP. BJUP has wonderful teacher manuals, good grammar/composition instruction (ABeka tends to beat grammar to death), better arithmetic than ABeka, and really and truly, much friendlier to hsers than ABeka is.
Unless there are special needs in your family, I wouldn't recommend the video/dvd/whatnot programs, not for a child so young. High school level, maybe, but there isn't anything that difficult for young dc that parents would be unable to teach.
To throw another choice in the mix, what about Rod and Staff Publishers? Excellent materials, wonderful teacher manuals, easy to use and teach, inexpensive. You can call the publisher and request a catalog, scope and sequence, and curriculum samples: (606) 522-4348. I would choose R&S over either ABeka or BJUP.