I've got a lurcher , he's just a fantastic trail dog. He is very clever, pretty fast, obedient and can run for hours. I s/s everywhere (I don't think geared bikes are fair competition for dogs) and he's done up to 30 miles with me. He's great on the lead, really chilled around the house, and doesn't fret if you can't take him out first thing.
I would say choose your breed carefully, but the majority of a dogs behaviour is down to the treatment it gets from its owners. And if you get a pup consult your vet on the appropriate time to start extending his/her exercise time. Your rides should always include planned water stops and don't forget some treats for energy….
Good luck!