Personally I'll miss Hearts. There, I've said it.
They are/were a big physical team who are/were a thorn in our side. I'd far rather we beat teams on the field than on a spreadsheet. I don't have a problem with their fans (although the Huns songs do wind me up), their teams always had a player or two you loved to hate (which is surely part and parcel of being a rival fan) and their mad as fuck chairman kept me amused.
Add to that the Edinburgh derby, away days in Edinburgh and Tynecastle being a decent ground then I think they'll be a loss.
Who the fuck wants a trip to Morton or Livingston anyway?