Replying to I ran over the dog

NS. I've got a fucking situation on my hands.

My parents were gone for the week so I'm home alone. I ran to the store quick and just left the dog in the backyard for a few as I wasn't going to be gone long. Came back and I must have left the gate open because when I was pulling into the driveway the little guy ran out right under my rear tire.. He's pretty squished and was dead by the time I checked what I ran over. He was just a small dog so there was really no chance for him.

So now the problems I face here are:

1. What do I do with his body?? I want to give him a proper burial but the neighbors can see the backyard and I want to keep this under wraps.. I just have it sitting in the porch right now but I want to dispose of it soon before it gets too gross

And

2. What do I tell my parents? My mom loved this dog a stupid amount, possibly more than me.. I can't just tell them I killed their dog.. I'm leaning towards "He ran away" which makes getting rid of his body an absolute priority right now.

+k to everyone helpful

RIP buddy :(