I've read a lot of the replies for rnmi, the new grad who has trouble handling tape while wearing gloves. I'd have to agree with the overwhelming majority of that advice. Wear small gloves, they not...
I always tear the tape off before I even start the IV. You can even tape it to the bedside rail if you want for easy access. Then assess and choose a vein. Then I don gloves and do the deed. Good...