Like in the title. Not too dramatic, but as dramatic as would be in expected of a story about real life. Josei preferred but not mandatory.

I became a mother of two recently, ages 5 and 7, both girls, and I wanna find some stories about this experience.

The closest match I know of is Shijuukara (Starting at 40).

The main character, Shinobu, is a mother to a young son (at the start of the series), but side characters are mothers to daughters. I found the struggles that Shinobu goes through as an overworked mother (new to motherhood) navigating her life, work, and friendships true to experience. Her love interest is a much younger man who was profoundly abused by his mother's friends in childhood. The series is about them finding healing--sometimes with each other, sometimes without each other.

Another primary character, Mihiro, has a fractured relationship with her own mother but a kind of mother/daughter relationship with Shinobu (this relationship is heightened in the TV drama). Relationships with parents and mentors are central; we see the pasts of almost every character and how their parents treated them (and continue to treat them) shapes their lives, for better or worse.

I don't think of Shijuukara as being about motherhood specifically, but about womanhood in general. Every kind of woman is represented at every phase of life, and the struggles that the characters experience are primarily problems that women face. The solutions to these problems are rarely easy--every step forward is hard-won--but overall I think it's hopeful. It's certainly an emotional roller coaster ride.

From Maid to Mother pretty much fits the bill. I mean, it's fantasy, but it's a more down to earth slice of life kind of fantasy.

Edit: With all due respect, you probably won't find a story with your experience. Manga is mostly fiction, and while it may present a nice feeling or seem relatable at first, you're probably better off waiting to further develop the relationship with your daughters instead of looking for a similar experience in fiction.

Not that you can't read stuff in the genre for fun, just as long as you know it's not going to accurately portray your experience.

I'm a jack of all trades but master of none. Too many jars and not enough hands.