You have two wonderful programs to choose from!

The ladies have asked some great questions and given good thoughts to ponder here. In general, it is a good idea to place dc where they match the skills listed in the placement chart at the beginning of their year. This makes for a smoother placement for years to come as well. From that perspective, I'll try to focus on Little Hearts. Little Hearts is a one year sweep of history, so while it begins with Biblical history, it spans from Creation to the 1970's. The history begins with what is familiar, Biblical history, via the Family Time Bible or 101 Stories from the Bible. It then moves on to History Stories for Little Pilgrims, and then History Stories for Children. This progression is intentional, as there are fewer and fewer pictures in the books, as well as longer stories that have a higher reading comprehension level with more difficult vocabulary.
The Storytime read alouds teach beginning oral narration skills, as well as ask oral comprehension questions. One of the Storytime follow-ups each week has dc write words withing a prompt, usually around 3-6 words or so. Handwriting is either of letters or words/sentences, depending which level of handwriting book you choose. Science includes experiments and activities, as well as readings from a science text. Art activities, and history activities are part of the plans as well. There is a choice of K or first grade fine motor skills/critical thinking activities.
Children also memorize Bible verses and sing along with them using Hide 'em in Your Heart. The devotional Devotions for the Children's Hour is quite deep, has few pictures, quite a bit of text, and has discussion questions at the end of each reading.
I share this because LHFHG has quite at lot in it. Daily history, varied follow-ups, science twice each week with experiments, art, comprehension questions, beginning oral narration skills, a deeper devotional reading and discussion - if dc have not had this amount of school subjects and this level of skills taught prior to Beyond Little Hearts, it could be difficult to do Beyond Little Hearts.
Typically, dc can easily write all of the their letters, can write words very comfortably, and are probably writing at least a sentence quite easily too at the start of Beyond Little Hearts. They usually know all of their letter sounds and are either ready to start formal phonics, on to their second year of formal phonics, or are reading and ready to use the Emerging Reader's Set. Dc have also usually had a year of history and science, as well as a year of kindergarten math. Here is a list of the math skills dc would have already covered in math in LHFHG...
1 - counting and writing numbers ‘1’ - ‘5’
2 - counting and writing numbers ‘1’ - ‘5’, introduction of ‘6’ - ‘10’ 3 - counting and writing numbers ‘6’ - ‘10’
4 - counting sets with one more, same number, or one less
5 - comparing sets: greater than, less than, one to one
6 - comparing numbers, identifying characteristics of basic shapes 7 - sorting by attributes, finding common attributes, and patterns 8 - patterns, sizes: big, medium, small
9 - ordering by height, measuring and comparing lengths
10 - nonstandard measurement: estimating, measuring length & width 11 - comparing nonstandard measurements, estimating weights
12 - capacity: filling, emptying; graphing, one to one correspondance 13 - oral counting forward and backward, number words
14 - counting, matching, tracing number words and numbers ‘0’ - ‘10’ 15 - ordinal numbers, number words, introduction of ones and tens 16 - counting and reading numbers up to ‘20’, groups of ones and tens 17 - counting and writing numbers ‘11’ - ‘20’, number words ‘11’ - ‘20’ 18 - fractions: ‘one-half’, ‘one-quarter’
19 - left/right directionality, adding ‘1 ’- ‘10’ by counting on a number line 20 - combining two sets together to add
21 - combinations that make ‘6’ - ‘9’
22 - combinations that make ‘10’, number sentences, separating sets
23 - comparing sets, subtracting: counting back, taking away
24 - subtraction: crossing out, stories, separating one group into two 25 - separating one set into two, horizontal and vertical subtraction
26 - missing numbers, picture stories, comparing numbers
27 - addition and subtraction stories, introduction to the clock
28 - time: day/night, hour hand/minute hand, hour/half hour
29 - time: half past the hour, days of the week
30 - days of the week, introduction to seasons/months
31 - counting by ‘10’s to ‘100’, sets of tens and ones
32 - counting by ‘fives’ and ‘tens’, counting to ‘100’
33 - identifying coins and values: penny, nickel, dime; counting money 34 - introduction to quarters, solid shapes: cylinder, cube, rectangular
solid
Dc starting Beyond are ready for spelling words, inluding writing 3 sentences each week. They are ready for copywork of a poem, typically at least a 4-line stanza each week writing one line a day, or up to copying the entire poem within a week. They are also ready for grammar lessons, a gentle introduction to the basic parts of speech once each week that generally does not require writing. The history read aloud texts are 3rd grade levels and have few pictures and more words than those in LHFHG. First or second grade math are the options in Beyond.
I am hoping that some of these details may make clearer which guide would best fit your dd. If you get the chance to share your thoughts on any of this, that would be great! They are both great guides. Hope something here helps!
In Christ,
Julie