I'm afraid of getting specific with the law of attraction because I'm afraid there might be something better for me. Is it better to go specific or broad in manifesting?

It is better to go specific, for if you go too broad it does not show enough committed intention. I am not saying that you will manifest the exact thing you passionately keep in mind. But if you don’t know what you want or are too general, you are not putting out enough energy to attract it.

In the case of the Law of Attraction, there is also the Law of Deliberate Intention. This is where you outline in detail what it is that you want to fulfill your life this time around. It may change, so mercifully, there is a gap between your ideation and the manifestation. This leeway allows us to fine-tune what we really want for our happiness and peace.

Then, we must acknowledge the Law of Allowing, and let the Universe bring to us what we desire. So its, deliberately intend, then attract, and then allow it to manifest in its own way and in its own time.
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I notice in your question that you use the words “I am afraid” twice. Fear is also a vibration and all it can attract is more fear, as like attracts like. Don’t be afraid of the Law of Attraction. It’s not about getting as many goodies for yourself in the shortest amount of time and hoping they are the right ones. Those things don’t last anyway. There is nothing better out there in the future for you unless you come to peace with the present.