In order to home school, most states require approval from your local district and give you a curriculum to follow. Children who are home schooled are tested by the school district periodically to make sure they are learning and acheiving basic benchmarks.
You said you didn't understand what fine motor skills are. That means the ability to perform tasks, such as writing, using the small muscles in the fingers and hands. At this age you children should be able to color neatly, write their own names, first and last, write all letters, capital and lower case, all numbers, and should be writing sentences on their own using many phonetically spelled words. They should know that sentences and names begin with capital letters, but the rest of the letters are lower case. They should be able to illustrate their sentences. The number sense needs to be developed. At this point they shold be able to identify numbers at least through twenty, count to 100, count specific groups of objects, estimate groups of objects, sort items, make patterns from shapes, toys, buttons, etc. They should know the names of all shapes.
As far as reading, you need to read stories to them daily...asking them to answer questions about the story when you finish (who, what happened when, where did the story take place, etc.) or stop the story at some point and ask them what will happen next. You are developing critical thinking and comprehension. Have them sound out words...give them a simple word like dog, isolate each letter have them give the sound, then blend the sounds to read the word. Build and memorize word families: cat, bat, hat,...... hen, pen, ten, etc. Get a sight word vocabulary from websites, libraries, etc. (from your district is best) use flashcards to practice a few at a time. Have them write sentences using sight words. ( for example a, see, I, the... using some of these words they can write " I see a cat." They should know that words are usually written with all lower case letters, a sentence starts with a capital letter, their names begin with capital letters, sentences end with periods (question marks, exclamation points). There is so much more they should be doing at this age. SHUT OFF the computer most of the time. You need to be working with your children at a table with paper, pencils, etc. Social skills need to be developed also...not just with siblings, but with outside friends. This is extremely important.
Kindergartens of today are the first grades of yesterday...most children are reading and adding and have a great base for learning through the grades.
Good luck!