When should I move my female african cichlid to her own tank - she is holding?

If you see eyes through her throat, you can strip her now if that's your choice. The skin of the throat has to be stretched pretty far before it becomes a window for the fry. Even if they have yolks, they will be fine. They will be able to swim or at least hop. Just don't mix them with larger fry that have already absorbed theirs. Don't begin feeding them until the yolk is nearly gone. Even algae eating African cichlid fry do best starting out on newly hatched baby brine shrimp as a first food.

I keep some live plants that are soft, such as hair algae and Najas in the fry tank to help absorb ammonia between frequent partial water changes for both carnivorous and vegetarian species. When the fry from a veggie loving species switch over from being mostly carnivorous, they will begin nibbling at the leaves and actually eating them. Early on they will only eat the rotifers and paramecia that live on the plant leaves.

If you move the female to a nursery tank, it should have a sponge filter with a heavy base or be suspended above the bottom. Fry get crushed anywhere the sponge touches the glass because they swim in as the sponge vibrates and get trapped. A spitting shelf that has a slope of water on it is a nice feature many fish mothers will use. There should be a shallow end about an inch of water and a deep end about two inches. I have made them from old styrofoam fish box lids gently wedged into the tank between front and back, or you can make legs for a flat thin rock.

move the other fish !