If I am now currently on OPTwhich expires in 3 months anf my future employer will sponsor me for H-1 visa, are there any documents that I need to prepare?

Question Details: Who is in charge of filing for H-1 visa? My future employer or me? Are there any documents that I need to prepare here to submit to USCIS, or from Korea. Do companies usually pay the application fee? Or that would be me? I would have to check with them directly first? How to check if there is any spot available for me to apply H-1 this year? What's the H-1B stamping? That's what I need to get as well?

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