Alright, forget whatever fixiefanatic said.
A new crankset is probably going to involve getting a new bottom bracket. Most cranksets tell you what spindle length your bottom bracket should be for a proper chainline.
Example: When I switch from miche primato cranks to Campy Record Pista cranks, I got a new bottom bracket because the spindle length for the Campy had to be 111mm and the Miche was 107mm.
So unless you can find a crankset with the same requirement for a bottom bracket, you will need a new one.
The cranks you linked to require a BB with a 103mm spindle so
this bottom bracket would work out.