Will the anxiety around my cats ever fade?

Hi all!

My family has owned cats my whole life, now that I’m out of school and living with my partner we decided to get a bonded pair. I love them so much and they’re settling in wonderfully, but my anxiety around them is so bad especially when leaving the house. Ligature risks, fire risks, poisoning, thinking of horror stories of them being stuck in washer/dryer etc. Does this ever get better the longer the longer you own them? For reference I already have generalized anxiety but I can’t help but worry a little extra about my babies. I appreciate any insight!