Consider your alternative uses for the commuting bike, eg sport, leisure, utility, holidays.
Road bikes are fine if that is what you want. They limit the max tyre size. I prefer to ride min 28mm in winter, others are happy with 25mm. 32mm is my usual winter 700c commuter tyre.
The modern Do-it-all bike is really a cyclo-cross/touring machine with disc brakes. They don't come in budget versions, see Boardman CX.