Ask HN: Sweet spot b/w server-less and micro-services architecture?

I’m a big fan of AWS lambda because of its simplicity and ease of use. In my last startup, most of our BE was in lambda but after some time we faced some issues e.g. cold start, cost, and double billing etc. Dealing with db connections was also kind of hackish.

I was wondering if it is possible to write micro-services in Lambda way but deploy them as continuously running services using kubernetes or ECS ? In other words, I’m looking for a way to combine good things of serverless and micro-services architecture.