Hilary Duff is a new-new mommy – and she’s already learning a valuable lesson about just how hard raising a baby can be.

Duff took to Twitter to share her love and thanks to fans who congratulated her on the birth of her baby:

“Wow I can’t believe I have a baby!the most wonderful,sweet,adorable baby!thank you all for the messages and well wishes!love you all so much.”

Yesterday, she tweeted that they got out with baby Luca Cruz without a hitch: “1st outing complete with no tears!Made it home early…just in time to feed Luca.figuring this motherhood thing out!Yay! A grown up din;)”

Figuring out the ins and outs of being a new mom does get easier, but it’s fun to see Hilary sharing the joys and pains of parenthood.

She tweeted: “Luca fed! Mamma fed! Time to do it all again in 2 hours! Oh how life has changed! Lol In such a wonderful way ”

Later she added, “4 am…Sleepy eyed. Feeding baby..whew this job is no joke!”

Enjoy your little one, Hilary – they grow up too fast!

Duff was quick to thank her fans for their support, writing: “All of these tweets are so sweet and make me feel so good! Thanks everyone for being so thoughtful! Hope everyone has a beautiful day”

It also sounds like her sister, Haylie, has some major support for Hilary too: “Let’s all send some xoxo’s to my seester she is doing such a fantastic job w Baby Luca! Proud of you sis.”

Hilary responded: “Awe love u sis”

photo: Hilary Duff Twitter