The best way is to set up the logstash shipper on the server where the logs are created.
This will then ship them to a Redis server.
Another logstash instance will then pull the data from Redis, and index it, and ship it to Elasticsearch.
Kibana will then provide an interface to Elasticsearch, which is where the goodness happens.
I wrote a post on how to install Logstash a little while ago. Versions may have been updated since, but its still valid
http://www.nightbluefruit.com/blog/2013/09/how-to-install-and-setup-logstash/