Just mind that the tools and services around Lambda are getting better, but you will certainly be a relatively early-adopter. It will undoubtedly result in some extra time spent learning, but you'll also eliminate a number of critical operational concerns and concerns about scale.

Mind that Lambda will not handle state for you, functions are stateless. You'll need to store state into hosted services like DynamoDB, Firebase, S3, etc... or stand up (micro)services that manage that state (say, a PostgreSQL database in Docker, saving to an EBS volume).