SSO for three Applications.

[mike h]

Hi,I'm new to SAML and SSO and still finding my feet. I've been given the task at work to provide SSO across three applications and I'm looking at various options.
In more detail:We have an  account on http://www.aha.io/ and this has an admin panel to configure SSO using SAML.We also use  Freshdesk  http://freshdesk.com and this too can be configured for SSO using SAML..
The third app is a REST based application we've developed  using Java and Angular and backed by MongoDB. It is a self contained app that is deployed with its own built in server. (ie it is not hosted in Tomcat, JBoss etc). Users of the application use name/password to login and the user details  are within the MongoDB. 
The SSO use case is that users of the REST app can sign on to any of the three  applications using their login credentials for the REST app.  

Could you tell me please if  Shibboleth is a good fit for this type of problem? If so how should I approach it and typically how much effort is needed to get up and running?

I am also looking at PicketLink and JBoss too - how does Shibboleth compare to this?
Many thanks for your help.
Mike



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