Exchange Management Shell: manage Exchange with PowerShell commands
Exchange Toolbox: enhances the Exchange Server with important security features like spam filter, virus scanner, email backup and a set of rules.
Exchange 2013 Management Console is a new web-based unified console that allows you to manage Exchange Server 2013 (on-premises), Exchange Online Preview organizations and hybrid deployments. You don’t need to install any admin tools on your management computer/workstation to use the EAC.
If you want to know what is your ulr acces, you can open a Exchange Manager Shell and type
Get-EcpVirtualDirectory | fl *url*
In my case https:\\ird01exch01\ecp\default.aspx
This is the new Exchange 2013 Management Console
You can manage Exchange 2013 in differents computers on your organization and you dont have to install any app for do it.
If you want to open your mailbox, you can type https:\\ird01exch01\owa