It is up to the school district but there is rarely admission tests for public schools unless there is concerns about language levels. If you are planning to spend less than 6 months in BC be aware that you and your family will not qualify for healthcare. There are separate residency requirements to qualify for healthcare coverage.
https://www2.gov.bc.ca/gov/content/health/health-drug-coverage/msp/bc-residents/eligibility-and-enrolment/are-you-eligible
Residents
A person must be a B.C. resident to qualify for medical coverage under MSP. A resident is a person who meets all of the following conditions:
- must be a citizen of Canada or be lawfully admitted to Canada for permanent residence;
- must make his or her home in B.C.; and
- must be physically present in B.C. at least six months in a calendar year, or a shorter prescribed period.*
* Eligible B.C. residents (citizens of Canada or persons who are lawfully admitted to Canada for permanent residence) who are outside B.C. for vacation purposes only, are allowed a total absence of up to seven months in a calendar year.