As a Student visa holder, you may be able to bring your partner and children to the UK with you as your dependant. This will depend on the course level, or what is called Scottish Credit and Qualifications Framework (SCQF) level noted in your offer letter. The SCQF helps with understanding and comparing different qualifications in Scotland.
For a comparison of qualification levels from England, Wales and Northern Ireland the Quality Assurance Agency has published a helpful guide on comparing qualifications.
The UK Immigration Rules also apply to babies born in the UK after you arrive. There are some exceptions to the rules noted below.