PHOTO: Hilary Duff Shares Adorable Picture of Baby Luca

The proud new mama tweeted a cute snapshot of her son's tiny tootsies

Hilary Duff is super excited about having a newborn at home -- and she wants to share the experience with the world! The first-time mother, who gave birth March 20, has been posting regularly about her adventures in parenthood on Twitter. And on Monday she shared her first baby photo -- of little Luca Cruz's feet.

"My favorite little feet," she gushed in the Instagram snapshot's caption.

Since welcoming baby Luca, her firstborn with husband Mike Comrie, Duff, 24, hasn't hidden herself away from the limelight. Instead, she's written about Luca's sleeping habits, eating schedule, and her first trip out of the house.

"4 am...Sleepy eyed. Feeding baby...whew this job is no joke!" Duff, 24, twittered on March 27.

"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;)," she wrote about her dinner out with friend and designer Alisia Leibel.

And when Duff isn't keeping her fans up-to-date with her baby milestones, she's kept busy showing off her fabulous postpartum figure. The former Lizzie McGuire star was spotted sporting leopard skinny jeans and a purple top on Thursday on her way to and from a solo excursion to West Hollywood's Nine Zero One Salon.

The actress also hit the gym on Saturday, 11 days after giving birth.

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