you can take bicycles on ferry from Orebic to Korcula.
for korcula to hvar ferry as well as hvar to split, you should pack your bicycles in appropriate bicycle bag to transport them to.
alternatively, take ferry from korcula to stari grad (hvar) and from stari grad (hvar) another ferry to split.
another option is to cycle from korcula town to vela luka and from there take ferry to hvar (bicycles in the bag) or to split (no bag needed).
all car ferries take bicycles.
just some foot passenger ferries take them without the bicycle bags.