Ah, they're going to be patio pot plants then? Again, the size of your pot will depend on which variety of sunflower you've grown. If it's one of the varieties that grown to about 6 feet or so, a pot about 12" or 15" diameter should be big enough. If you've chosen one of the big varieties, like Russian Giant, you'll need the biggest pot you can lay your hands on! As with any plant, the taller it grows, the deeper it's roots will be so that it doesn't topple over. And pot grown plants need to be kept well watered, whatever you're growing. And slugs will still slither up your pots and decimate sunflowers unless you use a deterrent.