I add a fork full of well rotted manure to the mix in the bottom two thirds of my containers when growing main crop potatoes.
I fill the bags to the brim with compost mix at the planting stage.
Before the flowers appear I will top up the containers if necessary but will always add some potato fertiliser at this stage to help them along just because they are in the containers longer than first earliest.
My first early potatoes get planted into just compost with potato fertiliser with no additional feed during their growing time.
I use the potato fertiliser from the cheep shops