6 paid/6 unpaid - working from home for the latter, paid 1/2
most places give you the 6-8 weeks paid and then you can take up to a total of 12 weeks unpaid bonding FMLA. Make sure your company has their own disability plan because NY state disability sucks and only pays $170 a week minus taxes. Most larger companies have better disability plans that pay a higher portion of your salary although some smaller companies are able to pay their employees their salary.
(I do disability claims for a living at metlife insurance company so I know all the ins and outs)