I have three kids ages 6, 3, and 18 months. It can be difficult at times to get the time to get my filming or editing done. Most of the time I have to stay up extra late working on videos and sacrifice sleep to get it done. The biggest issue I have run into is how noisy kids are. It's just in their nature, but it can be frustrating when you are trying to record a voice over and you can't get 10 minutes without laughter or screams in the background.
At the end of the day the kids have to come first. I think us smaller up and coming YouTubers just have to work harder and sacrifice more if we want to be successful. After all though, aren't our children worth working extra hard and sacrificing for? Sure, the odds of getting a ton of views and making a bunch of money isn't exactly realistic but if we don't try and chase that dream it will never happen.
Best of luck to you my friend, as a fellow parent and YouTuber I know how tough it can be. Hang in there, and just keep uploading!