Agree with the 3M Nexcare recommendation: they stick very well. They are harder to find, more expensive.

Fabric bandages also work almost as well

Almost all first aid kits have the rather poorly sticking plastic bandages. Replace them with either the Nexcare or fabric
bandages before you need them.

There is little/no evidence that applying antibiotic ointment, or using antibiotic impregnated bandages, despite longstanding practice and advertising by Neosporin etc. is of any value at all in reducing wound infections. The major beneficiaries would appear to be the ones who make it and those who sell it. I've stopped using it in our office. There is a small risk of inducing an allergy to neomycin or polymyxin with applying these to a wound. Just use soap, water, and friction to clean the wound, then cover it.