One comment on NEOsporin, the neomycin component is a well known
skin sensitizer and repeated use can result in a poison ivy like dermatitis
that would be really obnoxious. POLYsporin is similar sans the neomycin
that causes the problem. If you feel constrained to use the antibiotic
ointment use POLYsporin instead.. FWIW both ointments have a vaseline
base with added antibiotics that have some topical action. Occasional
use of Neosporin rarely causes a problem, but bike lube use tends to be
recurrent so the risk is higher.