Hi there! It sounds like you're doing a great job as a first-time parent, and it's completely normal to have concerns about your baby's sleeping pattern.
At 3 months old, it's typical for babies to sleep for 3-4 hours at a time during the night, waking up to feed. During the day, they usually take several naps, ranging from 30 minutes to 2 hours. It's also common for them to have varying nap times and to be fussier at certain points during the day.
One thing you could try is establishing a bedtime routine to help your baby develop a more consistent sleep pattern. This could include activities such as a warm bath, reading a book, and dimming the lights to signal that it's time for sleep. Additionally, making sure the environment is conducive to sleep, such as keeping the room dark and quiet, can help your baby get the rest she needs.
It's important to remember that every baby is different, so what works for one may not work for another. Trust your instincts and try out different strategies to see what works best for your little one. And don't hesitate to reach out to your pediatrician if you have any concerns about your baby's sleep.
Hang in there, and remember that you're doing a fantastic job! We've all been there before, and it does get easier with time. Wishing you and your baby all the best!
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