Hello Hodor!

Let's review actions to add new field to the search area for persons. So if you already added it to "Add" and "Edit" forms and enabled there then need to visit "Search forms" area, find there "Persons Search" item, then click by link "5 fields" (number may be different). In this area new field should appear automatically, but if still not you may press button "Reset" in the top-right corner. According your task (add switcher with possibility to search by its variants) i may suggest to use "radio set". But firstly need to create new data list for this field with variants. Then during creation new field choose for "Values" field the new data list. In this case search process will affect data from this field.

With the best regards, Leonid