Grammar question regarding quotation marks.

Let me start off by saying that this isn’t a homework question or anything of the sort ..just for my personal writing.

Alright, let’s say I want to recommend 3 songs to the reader. Which of the following is correct, grammatically:

1. I recommend “Born to Run,” “Magic,” and “Dancing in the Dark.”
or
2. I recommend “Born to Run”, “Magic”, and “Dancing in the Dark”.

I must’ve googled 3123 grammar sites for an answer ..but to no avail. One site says to ALWAYS have the period inside the quotation and another says to keep it outside. GAH!
Basically: I am aware that the period goes INSIDE the quotation mark, to end a sentence (like He said, “I’m Tired.”), but does it apply to song titles (or any artwork), too? Please explain why.

Thank you! : )