Carmex.
My lips were so bad that they bled in the night, and I had to constantly re-apply during the day.
Then I read two things- the first, that many so-called "balms" will have the opposite effect; they will superficially soothe and moisturise, but actually, underneath are making them even drier (Vaseline, 8 Hour Cream (Vaseline with marketing
) and most of the Nivea etc ones fall into that category if the ingredients are analysed (apparently, I'm not an expert, I just read up on them because I was desperate)
The ones that are full of nice things (Nuxe, L'Occitane etc) will moisturise but won't cure chronically chapped lips. (and very very overpriced for very simple ingredients, smearing olive oil on your lips will do essentially the same)
Carmex and (IIRC) the original pink coloured Chapstick both contain (IIRC) salicylic acid, which is why there is the initial tingling which then soothes. Your lips are exfoliated very gently while the ingredients do their stuff.
Within one week of Carmex my lips were transformed. That was about 3 yrs ago, and like pps, I'm never without now.