Does anyone know of a site or program they can "write out" their lines in? I'd like to be able to see all the animals in one spot rather than having to cycle through each animal. 

I don't know of one specifically because I've never tried them, but it looks like there are a couple if you Google "pedigree creation", so hopefully one of those will work! Or someone else will know of one that they've tried.

https://www.pedigreequery.com/generator/ is what i used to use but honestly i have a notebook with every name for 1 set of lines in it.
i own i think the one of the longest lines on hp so I have done given up XD

i dont add lines more than 3 generations long now just for safety sake

Oh man, there are so many programs / websites. I will ask my friend that runs a Rattery what she uses, I know she is 10 generations in and keeps track of all her different lines and makes sure to notate any health issues.