@milliekeeling23 That feeling will probably fade. I felt the same as you when our girls were born, I was unprepared for the rage and anxiety of letting other people watch them! We hired a night nurse for help in the early weeks and that still didn't get me much extra sleep because I could not let go checking in. We terminated that contract early purely because it wasn't helpful, because nothing could convince me to leave our babies in the hands of a stranger without I or my husband supervising.
I hated when other people held them when they were newborns!! I became okay with letting family members hold them when we're around once they could sit upright, move their heads on their own, smile. I'd be very hawk-like even around 4 months, but by 6-7 months I could actually relax in the room and enjoy myself while other people held them. I think once they can express their feelings more you'll be able to relax. Seeing them laugh, smile, and interact with friends and relatives is fun.
Ours are turning 1, my husband is a full-time dad so we never had to go through the emotional hurdle of daycare. But, I still would not be fond of letting a relative or babysitter watch them alone for any length of time. Multiples can be a lot, I don't trust other people to know exactly what they're in for!
In summation, there's nothing wrong with you, many people experience this with their newborns. It will very likely fade, don't feel the need to challenge or check yourself. If people want to help, tell them they can help by taking care of you so you can take care of your babies! Ask to be brought meals, or for someone to pickup groceries/supplies for you, to walk the dog/scoop the cat box. do the dishes, etc.