B.M.
Congratulations on your new baby girl!!
For bottles, I bought a Brothers label maker (and some pretty metallic tape!) and made permanent bottle labels with first name and last initial for both bottles and lids. Our daycare did not require content and date but you could easily make a permanent label for content. Date - maybe one of those old fashioned grease pencils? The Brothers labels stayed on even in the sterilizer and through washing time after time.
Binkies I tried really hard to label with a blue ink pen, but it did keep coming off. Our daycare was good about knowing which one went with which kid after the first couple of days.
Clothes I put their first name and last initial on the BACK of the size tag. Usually an ink pen or a sharpie will do. I did this for blankets and sheets too.
Good luck and enjoy that baby!