When writing a date in an SQL query, you are writing it as a string; you have to do the same with prepared statements, and use PDO::PARAM_STR, like you did in the portion of code you proposed.
And for the “timestamp”, if by “timestamp” you mean:
- The MySQL timestamp data-type: it’s the same, you’ll pass it as a
string - The PHP Unix timestamp, which is an integer: you’ll pass it an
int.