Personally I use PDO, but I think that is mainly a question of preference.
PDO has some features that help agains SQL injection (prepared statements), but if you are careful with your SQL you can achieve that with mysqli, too.
Moving to another database is not so much a reason to use PDO. As long as you don't use "special SQL features", you can switch from one DB to another. However as soon as you use for example "SELECT ... LIMIT 1" you can't go to MS-SQL where it is "SELECT TOP 1 ...". So this is problematic anyway.