Best UI for picking a birthday?

I'm designing a form where the user needs to pick her or his birthday — just day and month, not the year.

As it's just the day and the month, standard practices for date pickers don't necessarily apply, though some do.

Nielsen and Norman recommend splitting up the fields and spelling out the month if possible. UX movement recommends using plain text fields, but that eliminates the possiblity of spelling out the month. There's also a question of whether to shift focus to the next field automatically — Lukas Mathis recommends against it, but without it, there's an extra click when using two fields.

I should also mention that the UI should consist of standard elements only. I know there are great custom pickers out there, but this project doesn't have the budget to create one for such a small feature.