where can baby sleep safely?

Maisie
i'm having a problem keeping my baby asleep in her bassinet. she's 1 month old. she'll sleep in my arms for 3-4 hours if i let her or she will sleep in a bouncer for 3-4 hours, but as soon as i lay her in her bassinet she startings grunting and stretching and wakes herself up. i'm getting maybe 2 hours of sleep at night inbetween feedings and trying to rock her to a deep sleep and setting her down. i really want her to be in the bassinet at night because i feel safest with her in there, but would it be bad for her if i let her sleep in the bouncer? i swaddle her and tuck her in there, but it is at a slight incline and idk if they're supposed to sleep like that all the time? any tips/tricks/recommendations on what i can do?! i'm so tired and can feel myself getting frustrated with her everytime i finally get her to sleep and she wakes up. my mom keeps trying to put my baby on her side in the bassinet and tucks rolled up blankets on her side but im scared to do that too because my cousin put her 3 month old baby down for a nap on her side and she rolled over and suffocated...