I don't use travel boots or bandages on my mare - she gets very warm travelling - and they only make her warmer - and she doesn't like them - AND they just spend all of their time slipping down.
If I am going somewhere and am using brushing boots or bandages for exercise, I will boot / bandage before I go - but that is mainly to make it easier at the other end!
THe pony has some poly pad travel boots - which are straight up and down - they are great - and I do use those on her whenever I take her out.
TBH if I could find some more like that I *might* consider getting some for my mare.
My baby ponies don't have travel boots that fit them - so don't wear anything.