Both options you can enable in Customizer - Appearance/Customize/Favorite&Compare settings tab.
Compare properties option:
Allow you to add 2 properties to the Compare Properties widget. You can set up which attributes should be compared. Clients shouldn't be logged in on your site.
Favorite properties option:
Clients can add 10 properties to Favorite Properties widget by clicking on hart from single property page of from overview. Clients shouldn't be logged in on your site.
on single property page...
New icons on overview
Compare properties Pop up
Once you will click on Compare button from Compare Properties widget you will see such pop up
