Hello mars.millar and welcome aboard Filipino UK

In principle you are correct.

You will need to apply for a UKBA Family Permit from the Philippines.

Given that your husband-to-be will be declaring as student he'll need to have documentary evidence of being enrolled on a course of study, comprehensive sickness insurance cover in the UK and declare that he has sufficient resources.

The Family Permit is issued free-of-charge and decisions are made within a very short time (1-3 weeks). Means any reasons for refusal will be detailed and you'll be able to resolve them for a subsequent application which may be made at any time. Again free of charge.