Under normal circumstances, I wouldn't worry about riding the same day as farrier work. I like to at least do groundwork or turnout the same day to let them acclimate to any angle changes from the trim, etc. Since you had a different farrier out, to be safe I would give them a day to make sure that everything is hunky-dory. Farriers get to know the idiosyncracies of their "patients" and their feet, and with an unfamiliar farrier your horses may not have had quite the trim they are accusomed to. It's not a matter or good or bad, just different.
Watch them move over the day, and if they act normal, a light ride is more than likely fine.
A stubborn horse walks behind you, an impatient one in front of you, but a noble companion walks beside you ~ Unknown