Private syslog server on a DH VPS



I help to run a Community WiFi network using openmesh boxes that are centrally managed from their cloudtrax dashboard - but the access logs from each WiFi node are only kept for 24 hours. They do however provide a script so that the logs can be sent to a separate syslog server.

So can a DH VPS be setup with a separate syslog server for this purpose?
Can an existing VPS running various web servers be used? or would a dedicated new VPS be needed?
Are their any simple ‘one click’ like tools available? since whilst I use quite a few DH VPS’s I do not have any ‘deep’ linux skills.