OK - first - kerlix is the gauze that goes UNDER the stuff that looks like an ACE bandage. The stretch bandage that most of you are thinking of is Coban (brand name) or other "conformal" tape
Interestingly, when you do some searches on them, there are actually at LEAST 2 kinds "short stretch" and "Long Stretch". From what I understand, the short stretch stuff is MOSTLY used/available in the UK - My leg MD is actually thinking of bringing in some stuff from England for my wound if I don't respond to what is going on right now (profore quad layer wrapping)
As for Tape, as I'm often doing "Non first aid" wound care, I love, and carry 2 rolls of 2" Micropore brown paper tape. I've found it the most comfortable, but as others have said, this is NOT really for first aid. The MD MIGHT use it when he's done patching you up, but...
For securing the ends of kerlix and the like, I have a roll of fairly generic 2" Cloth tape - the current roll is by Medline, but that's because it's what the wound care supply company sent in the box.
Just to give you an idea of what is out there in wound care:
http://www.bandagesplus.com/catmain.php?xCat=51Leg ulcers are the LARGEST cause of "Lost time" disabilities in the USA. (More than Bad Backs/Neck pain). I go through wound care supplies at a rate that would probably shock some of you. To give you a hint - at least 2x/week - a set of idosorb pads, then a roll of Kerlix, then a profore set (
http://www.jrsmedical.com/COMPRESSION_BANDAGES/UNS66020016/product.aspx ) - plus some 4x4s - some weeks, I can't tolerate compression, so remove the profore, and add in 6 4x4 bandages - twice a week, at least - sometimes twice a day.
Besides my first aid kit etc - I carry a wound care kit with me - a bag 14x6x5 (and getting a new one) - the kit is full, with stuff "I MIGHT need before I go home" One box of 25 4x4s, one box of 3 layer 4x4 non sick pads (10). One or 2 boxes of Idoflex pads (wound treatment gel), 3 rolls of tape (2 paper, one cloth), a bottle of Advil, a bottle of Prescription pain pills, 2 bottles of antibiotics (augmentum and Bactrim), Benydril, Dakin's Solution, Lanacane (which you have to be real careful with, as it can cause capillary overgrowth) and 2 pairs of EMT shears
BTW I hope NONE of you ever have to learn all about this stuff. When you've been in enough pain to be taking Vicodan AND Advils for 11 straight months (except every once in a while - now up to about 1x/week - the pains stops for a few hours), you're NOT a happy camper. From what I can gather, at 11 months in, I'm a "newbie" - there are documented cases of this lasting MORE than 60 years - and something like 2.5 years is average.