All four can go together. Your husband and children are included as dependants on your study permit application.
Your husband's work permit is the part that needs care, because it is not automatic. Since 2025 a spouse only qualifies for an open work permit if the student is in a master's programme of 16 months or longer, a doctorate, or one of a short list of professional degrees such as medicine, dentistry, law and nursing. A college diploma or a second bachelor's does not qualify, so the spouse could not work at all.
That makes the programme choice the biggest decision in the whole plan. A master's of the right length means the same family and the same costs, but a second income once you arrive. Many people pick a college first and only find this out afterwards. A master's in public health of 16 months or more does satisfy the rule.
On money: for 2026 IRCC's proof-of-funds table puts a family of four at about CAN$43,500 a year in living costs, on top of first-year tuition and flights, and you must show it without counting any income earned in Canada. Three people is about CAN$35,900. Check the current figures on canada.ca before you file.
Whether a particular application is approved depends on funds and academic record, which nobody can judge from a message. The rule and the numbers above are the fixed part.
This is community experience, not legal advice. For your own file, speak to a licensed consultant or lawyer.