Thank you for your message.
Please see below:
*I’d like to add some other property criteria (e.g. “categories 2″),
—> This means that you wish to add a new taxonomy and it requires custom work.
*as well as to rename some of the existing ones (“Neighborhood” -> “Around me”), within the backend.\
—> You can use the Codestyling Localization plugin. Please see help here: http://wpestate.org/wp-residencewp-estate-re-name-field-using-codestyle-localisation-plugin/
*Additionally, I’d like to adapt the “Property Details” (e.g. price, size, etc.).
—>You can edit the default fields by edit/comment the below files:
libs/listing_functions.php- front end property page
libs/property.php- admin-property page
templates/submit_templates/- submission form