Homeschooling in a daily routine
Solution 1:
Yes you may. The neologism “homeschool” as a verb is now well understood, does not replace any previous word unnecessarily, and is concise. There are therefore no arguments for not accepting it into usage.
Your use of “must” clearly depends on the circumstances but whether or not or why you are obliged to (must) finish the task by a particular time is irrelevant to the thrust of your question and to this answer.