I think the easiest way to go with qgis + qgis2leaflet plugin. You can edit whatever you want in qgis than export to leaflet and upload to your webserver. Or if you choose the more interesting way than:

1. desktop gis: qgis
2. database admin: navicat
3. webserver: basic VPS
4. webgis package: boundlessgeo geosuit (contains: postgresql/postgis, geoserver, and geoexplorer)

Instead of the geoexplorer I would use leaflet javascript, because it looks nicer and run smoother... but take some time to copy/paste together some code. here is an example: http://gis.xyz