First, please see my corrections above in red. It is important to start every sentence with a capital letter and to capitalise the word "I" every time you write it. Also note that in your title, you spelt "title" incorrectly and you punctuated "vs" incorrectly. You don't have to put a full stop anywhere with it but if you want to put it somewhere, it goes after the "s". Your title should have looked like this: "Name vs. title" or "Name vs title".
Of the two you suggested, I would choose the first sentence. However, in real life, I would say "I'm having a hard time thinking of a name for my tunes/songs".