Terrified of SIDS

First time mommy to a 3 day old baby boy! I am absolutely in love and we got to bring him home yesterday. Last night was incredibly difficult for me. I found myself unable to sleep as I am terrified of SIDS.
Any advice on how to overcome this fear? Or advice on how to feel like he is as safe as possible when I lay him down to sleep at night? Mommy needs her rest too.
We have him sleeping in his Graco Dreamglider (bassinet/glider) right next to me at night. Last night I turned on the heartbeat and had him gliding - is that bad for when I transition him to a still crib? I also have a Snuza but not sure when to start using that
I have him swaddled for now with a muslin blanket at night but I am so worried of it coming loose and suffocating him or of him being too hot. 
Please help to ease my mind! Thank you!!