Objects and Picker

Hi, everybody.
From the database I get a list of objects ({Id, Caption}) that I want to display in the Picker.
Only text values are added, and getting the selected item goes by index, and I need to work with Id.
I read that you can add a collection to ItemsSource, but in my case, a collection of objects is used.

Database.cs:

public class MyType
{
    [PrimaryKey, AutoIncrement, NotNull]
    public int Id { get; set; }
    [MaxLength(50), Unique, NotNull]
    public string Caption { get; set; }
}

public Task<List<MyType>> MyTypeGetAsync()
{
    return _database.Table<MyType>().ToListAsync();
}

Page1.cs:

private List<MyType> aMyType;

public async void MyTypeReload()
{
    ...
    aMyType = await App.Database.MyTypeGetAsync();
    ...
    my_list_item.ItemsSource = aMyType;
}

Is it possible to substitute values in the Picker in such a way as to output the Caption value, and get the Id value for the selected element?