Once you have the reverse proxy setup the next problem that arises is routing to containers based on the domain. Now your HAProxy or Varnish config is going to get bloated and every time you deploy a container the config needs to be modified and reloaded. By this time you might be looking at chef or puppet for automating the config generation.
Chef and puppet are not simple to learn. They have their own set of quirks (like unreliable tooling support on Windows). I'm in the process of conquering this, but I hope one day there will be a simpler way.