Sleep advice

So for the first 3 weeks my baby was sleeping 3 hour stints at night. She’s nearly a month old and she just seems to be up all night! I feed her, get her into a deep sleep and put her in her Moses basket but she just wakes up and if she doesn’t she wakes within 20 minutes. Any advice? I’m using a love to dream swaddle but I think she needs one a bit tighter to feel like she’s still being held.