I cook all the meals in my household and have worked in a bunch of manual jobs, from welding to construction, so I have a lot of experience with cuts, abrasions, and burns. After much experience and unwilling experiment, I highly recommend Band-Aid Tough Strips without exception or qualification.
Every other variety I have tried, including the plastic “waterproof” Tough Strips and the regular plastic and fabric Band-Aids, have, in a word, stunk. Why the fabric Tough Strips stay on through sweat and multiple soapings, I don’t know. The adhesive does seem to be of a different sort. But the fact is they do stay on through everyday and not-so-everyday abuse, and no other bandage I’ve tried comes close. Also they’re a little bigger than regular bandages, and the extra bit often makes the difference between not-quite and fully covering a wound. Be sure to apply them to dry skin while trying to avoid getting any antibiotic ointment on the sticky part as that stuff is like adhesive kryptonite.