Hi and welcome!
It sounds like your dd would probably enjoy starting LHFHG. I started my ds at 4.5 and we had a *great* time! My only regret was that I went through it at a normal pace, which he really enjoyed, but he wasn't quite ready for the next guide yet when we finished, so we've been in a bit of a holding pattern in some areas as he develops more. Have you checked out the placement chart? It's very helpful:
http://www.heartofdakota.com/placing-your-child.php
If she fits well, I'd start her in LHFHG but slowly, often referred to as "half-speed" on this board. It can be done however fits your family, but the general idea is to take two days to cover one day's worth in the guide, but keep whatever pace you need to for phonics, math, fine motor skills. The first half covers the Bible, and the second half introduces the growth of the church and various figures through history to present day. The second half is definitely more abstract, because there aren't beautiful pictures for every day's history story

. The storytime books are great, but they can take some kids a bit to get used to listening to stories without pictures. The readings are very bite-size, though, and teach those listening skills well over time, IMO. It would be easy to do LHTH slowly as well, and both dc could enjoy the songs. I'm doing LHTH with my dd who's almost 4, and big brother always stops whatever he's doing to join us for the song, and acting out the story when we do that

You're going to love HOD! I'm glad to be doing LHTH but I am chomping at the bit to return to using HOD for ds6... I love having Carrie's plans, because (so far

) it's just what I was trying to pull together on my own, but I just didn't have the energy to follow through with my own plans

HTH!