I pulled for the entire collection in around 53 pulls. Once you pull a certain amount without getting an animal, it will "pity" and then the animal will jump out, and you will acquire it (I think it was around 6-8 pulls for me). If you click on the ( i ) in the top right hand corner next to the "LOOSE CHANGE" coins, it shows the prizes which is 8 animals. There are 3 animals as the 1st prize, and then 5 animals as second prize. The ones that will hop out first if you don't get a prize are the 1st prize first. That means most people will pull the Chicken, Chinchilla, and Lotus Root first if they do not get anyone.
I had 2800 nemo bucks in my account, then I bought 2400 more totaling 5200. I also had 10 free pulls from the Battle Pass coins. Each paid pull is 120 nemo bucks. So that was about 43 paid pulls + 10 free ones = 53 pulls and I own all of the animals. 1920
The battle pass has 16 free pulls on it. If it takes you as long as I did, It should cost around 4420 nemo bucks + the 16 free pulls from the battle pass to get the whole collection so that is between $30-40. That's technically around $5 per skin for 8 animals, which isn't bad actually.