How big is your pond? How many babies are we talking about? and What are your goals/limits for population?
This is the first year we've collected babies. With the old ponds, they were just too small for the babies to have a chance and would get gobbled up well before we could find/catch them. NOW we have plenty of room, but the goldfish especially multiply like rabbits LOL.
I am personally having a blast watching our babies grow inside. Our youngest group came as a surprise ... what I had been doing is keeping them in a plastic kiddie pool in the kitchen, and as they got big enough to not worry about filtration getting them, moved them to our inside QT pond since it wasnt needed otherwise. Well, several of the new babies we found young (aka within a day or two of becoming free swimming, just out of the "suction cup stage"....) so have them in a 30 gallon tank. I've lost track, but think over the last 2-3 weeks we ended up with 26 more. Now they are about 1/3" for the 6 super tiny guys, and the two monsters are about 3/4". I'm sure all but two are either comets or shubunkins... I still have two that are too small for me to tell what they are (one is looking koi but just not sure of that)... If they are all non koi, I should be able to get away with another month in the fish tank before they are getting crowded in there.
What I am getting to here is depending on what species you caught, and how many, a 10 gallon tank isnt going to work for long. Our largest, of the older comets (our comets are growing faster than our koi babies) were caught maybe the beginning of, to mid May and are coming up on 3 1/2 - 4" now... sitting here looking at the 30 gallon tank, I cant imagine more then 5-6 of them in our tank without having to really up the filtration (using a fish tank filter, sized for this tank).
If you have a bunch of babies, there are a lot of options, to get more room than a 10 gallon tank, without spending much at all. Like I said, for what is now our mid sized babies, we are using a plastic kiddie pool. It's 60" so totally full, would hold 100 gallons of water... ours is sitting with about 60 gallons in it... depending on the numbers, you can use a tote, or even a trash barrel.
OR you can toss them/some back into the pond, like others said, they go with the survival of the fittest. It depends what your goals are. I wanted to watch the baby koi grow, want a few more shubunkins, and will place most of the comet babies... lot easier to catch them at this size, as the goldfish especially are fast and our ponds have plenty of places for them to hide.