To install Hamachi, simply download and run the install file from the Hamachi website: http://hamachi.cc/
After the installation you will need to reboot the computer.
After rebooting the machine start up Hamachi from the newly created shortcut.
It will give you instructions to set up your account.
Basically, you pick a nickname and it connects to the Hamachi server to obtain your unique 5.X.X.X IP address.
You might want to do this step at the same time on all your computers you plan to access with Hamachi.
That way they will all get IP addresses close to one another.
You then click "create new network" and enter a network name and password.

Once you have installed Hamachi on all the computers you plan on using, you will need to click the button to "Join existing network" on all the other PCs.
Enter your network name and password and click "Join".
Once it detects the the other computers it will place a green dot next to their entry in the list.
You should then be able to access network shares and remote desktop or VNC into the computers.
Use the assigned 5.X.X.X IP address to access each computer.