Shower before you leave, & its just clean sweat your mopping up then. Arrid XX deodorant works well. Muc-off do a “dry shower” spray, that just foams up & you rub it in. Works ok, if a bit sticky. Not cheap though.
The cheap baby wipes is the best solution I’ve found, but its only really the summer months. If you slow down, unzip etc for the last mile or two that works.
Cheap disposable nappies stuffed into wet shoes drys them well.
Food wise, for me its a banana before leaving home. Then after cooling down at work cheap porridge & a chopped banana, raisins etc, in one of them big sports direct mugs. Add boiling water & dash of milk & mash.