It is your choice that move fish or eggs. But I would decide by the speicy, number of spawn and the availablity of the other container/tank if I were you.
I perosnally move the eggs since I only have the breeding group of Panda. And they are not a big spawner but they spawn often.(I get eggs 1~2 times a week. Then again I have 5 females) So I found it easier to move the eggs and hatch them. And the egg number ios not that high, Panda lay about 20~30 eggs. If I find 50~60, probably 2 female laid them. And I don't mind the Easter egg hunt. I read about using the plastic card to remove them. But I use my finger, you just roll the egg or pinch with the finger they will stick to my finger as long as I collect them not long after they were laid. And surprisingly, they are not that fragile, especially the good eggs are firm and have feel of bounce in them. I know some speicy of cory would pile up the eggs in one spot but panda almost always lay 1 egg at a time. They do lay eggs in one vicinity but not A one spot. So finger would be best. As long as my fingers are fairly clean enough. No detergent residue or extreme oil residue or something like that. And I move the eggs to little container with air tube and dash of fungacide for first 3 days. After that, I just wait them to hatch. I know the hatching time would vary by the speciy and temperature you keep the eggs. But my Panda eggs would take 5~5 1/2 days to hatch in my room temperature of around 75F. I change the water 1~2 times a day since I use the little cup to hatch the eggs although the eggs number won't be too many. I use the water from the breeding tank. And another 2 days or so after the hatch, the fry woud feed off the big egg sack they carry. Then, I start feed them some micro-organizm(infusioa, green water,squeezed water from the established sponge etc.) I also feed some microworm in another day or 2. And newly hatched decapsulated brine shrimp.(baby brine shrimp is good nutritional excellent food but the hatched or unhatched eggs can cause some digestive problem for little fry and may kill them. And I learned how easy to decapsulated the brine shrimp eggs. No more egg shell for me.
)
And brine shrimp make the fry tummy pinkish orange. Whenever I see the fry with big orange tummy, I know they would grow well.
So it is best suited for me to move the egg since the number is not as high as some of the other cory and they lay eggs often and I can keep the breeding tank keep going. And I read some parents may not eat the eggs and frys if they are fed well. I also read that it is not the matter of the speicy but the indivisual difference. So I don't know. But it better to be safe than be sorry. Beside, the other fish who can fit the little cavior of tiny wiggler into their mouth certainly eat them. Separation and protection of eggs and little fry would be wise, beside some fungacide may improve the hatching ratio somewhat.
Although once in a while, I find the fry hatch and grow on their own in my breeders' tank. Obviously, I miss some eggs sometimes just like Easter eggs.
Since those sneaky eggs hide and pretend like little grain of gravel. Not to mention, I have my tank set up as regular tank. With small white gravel just about the size of the eggs and lots of plants and furnishing. Some people use no substrate but I want my breeder to feel comfortable and not living in the plain hospital. Beside, missed eggs can take care of themselves with food and hiding place.
So this works for me but not necessary for you. Since I'm doing this since January every week once or twice, it become routine for me. Good or bad. I haven't cull them intentionally since I haven't seen the deformed. But I keep them and feed them well and change water often to maintain the water quality high. And I find now and then, a dead fry or two. I figure they are the weak that not to fit to go on since I can see any obvious reason. I figure this is the nature's way of culling.
Anyway, the one reach to 2 months or so, I find them new home through aquarium society so far. I know already some store would take them but I prefer them to go directly to the other caring hobbist if I have choice. Since I have many more panda than I can keep in my limited space. Although I kept some from my first batch. And they are really close to the size of the parents after 3 months. So I expect the panda to be adult in 4~5 months. And I am start to wonder if they have the spawning season or would go year around or slow down or what. I guess I have to wait and see. Since it won't take too long for my fellow auqarium society memberin Seattle who would like to have them will get them. I usually charge them half the store price which I would get at the store or made the trade for the plants I want. Before next year, I probably get twice as many eggs since my first batch would be breeder. I guess I can't complain.
Anyway, good luck with your eggs and the wigglers. I think cory fry is between guppies and tetras as the rate of difficulty of raising.
I was sort of expecting it since i dropped the temperature in my tank recently, but i was still very proud of my little old lady for doing the deed another time 
. Anyways, some of the eggs seem to have been eaten(have various small tetras, a pleco, and guppies in the tank with them) but some are very well hidden behind java moss and other danse live plants so they still seem quite developed and big. Whats the best way to remove/ protect the eggs and take care of them? 
lol
With 4 males and 1 female, the chances of having a high percentage of fertile eggs is high and this is in your favor. 
) We mods appreciate a kind word more than you would know! 
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