Currently I am in the process of moving my portfolio website to a new system. I'm giving Adobe Portfolio a try after comparing many alternatives.
For now Adobe Portfolio seems to offer most of the functionality I need for my portfolio. It is already included in the Creative Cloud for Photography plan and has also a very strong integration with Lightroom (also syncing re-edited photos directly from Lightroom to the website, keeping all images up to date).
The coming days will be filled with reorganizing Lightroom to get the integrations running smoothly (mostly due to my rather unique way of organizing my photos in Lightroom.