pgvector is even supported out of the box on Azure and AWS RDS.
Just spin up a docker container [1], add a vector column to your table and you're ready for embedding search.
[1] https://hub.docker.com/r/ankane/pgvector
If you're starting out with a prototype - do yourself a favour, steer clear of the chromadb examples with langchain. In fact steer clear of langchain in general :) Just go for OpenAI API and PostgreSQL+PGVector - you'll have to do some boilerplate - but the stuff in langchain is just terrible, you'll have to rewrite it and do the boilerplate at some point anyway and this stack is super simple to deploy.