I use Zotsite: A Zotero Export Utility to sync my local Zotero content to my personal web server hosted on a third part provider A2Hosting. It supports webdav .
# single-line automation
cd /Users/<username>;
zotsite print;
zotsite export -o /Users/<username>/zotCloud;
rsync -avzP --delete -e "ssh -p 7822 " /Users/<username>/zotCloud/ <username>@alptugan.com:/home/<username>/public_html/zotsite/
# Goto Zotero Location
cd /Users/<username>
# Check database for any corruptions
zotsite print
# Create site
zotsite export -o /Users/<username>/zotCloud
# Upload to the server
rsync -avzP --delete -e "ssh -p 7822 " /Users/<username>/zotCloud/ <username>@hostname.com:/home/<username>/public_html/zotsite/
# Goto browser
https://www.hostname.com/zotsite