Engagement Party Invites

Both mine and my fiance's parents are hosting our engagement party. I am hoping to send out digital invites through paperless post or one of those websites. Basically, I would like to be in charge of sending the invites and keeping track of rsvps so I don't have to pick a specific parent to do this and have to go through the struggle of giving them everyone's contact information that we would like to invite or bug them to see who has rsvp'd yes or no. When you send invites through these websites it usually says something along the lines of "so & so sent you an invitation to engagement party." I considered sending them out myself but just putting "The parents of so & so sent you an invitation to engagement party," but I'm not sure if this is the right way to go about it. I am probably thinking way too into this but is it wrong to send them out myself? Should I put my name in for who the invitation is from and then just list them as the hosts or just let one of the parents handle it altogether?