03/31/2011 at 12:00 PM EDT
Life with a newborn can be exhausting, as Elizabeth Banks is discovering.
The 30 Rock
star, 37, welcomed son Felix
via gestational surrogate recently and writes on her Web site
that if fans need her, she'll "be changing dirty diapers and trying to get some sleep."
She's been in a "fantastic long term relationship of nearly 20 years with my now husband" Max Handelman since college, but Banks chose to keep mum about their fertility problems and surrogacy journey, only opening up after the birth of their new baby boy.
"We have maintained a great deal of privacy throughout this process, and hope to continue to honor Felix's privacy going forward," the actress blogs. "Thanks to all our friends, family, and fans for your support."