Chiltepin sprouts! What’s next?

I'm growing chiltepin peppers for the first time. The seeds were a gift from my grandfather-in-law, who raises them in San Diego. I'm in zone 7b, however. I hear they need light and consistent warmth until they have about six true leaves. I plan to stick them into 5 gallon pots/buckets and make them somewhat indoor/outdoor as Fall eventually arrives. Any insight for what to do at this stage? Thank you!