It is suggested to apply for the visa at least 15 days before your departure date.
That would be to apply for a one year extension of stay applied for at immigration to do it within 30 days after you enter the country with a non-o visa.
For a visa application the will want to see ticket to here. There is not need show a return ticket.
Your best option is to enter the country visa exempt and apply the 60 day extension to visit your wife. But immigration may want you to apply for the 30 day extension first.