Baby will not sleep in bassinet

Amy • My first pregnancy!
She will only sleep in her swing or bouncer. I'm really trying to make her sleep in the bassinet while I sleep, but she just won't. I'm terrified that if I put her in her bouncer to sleep and something happens (SIDS) I would never forgive myself because I know better. But she just won't sleep!! Any advice?? I'm so tired!!! She's 5 weeks old.