Via the AP:

... adoption lawyers and agencies in New York say they're getting ready for a baby boom as same-sex couples emboldened by the state's new gay marriage law take the next step and try to adopt children.

... For lesbian couples, the road to parenthood is relatively easy. All that's needed is a sperm donor or a cooperative male friend who will agree to terminate parental rights when the baby is born. The other partner then adopts her partner's child through a "second-parent" adoption.

... For men or for women who can't conceive, the process is more complicated.

Cowen and Truong said the urge to start a family began after they got married in Vancouver, British Columbia, in 2005. They looked into hiring a surrogate mother, but that route was expensive and fraught with legal hurdles. New York prohibits surrogacy-for-hire, so they must be done in another state.

Adopting from another country was a difficult option because most countries bar same-sex couples from adopting.

... A 2009 Census Bureau survey showed no evidence of an increase in the percentage of same-sex couples adopting in Massachusetts after that state legalized gay marriage in 2004. But the sample was so small—only about 100 couples—that estimates are very imprecise, Gates said. Figures from the 2010 Census should offer a more accurate look.