It's far too easy to run out of cats without upgrading your launch materials, rather quickly.
To help alleviate this problem, it would be nice to incorporate a roulette/spinwheel at the very end of your run, that offers 1 bonus cat, a litter of 5 bonus cats, cash bonus, a huge jackpot, a better luck next time, and 1 free spin. Also, it would be nice to have the option of purchasing 1-5 extra cats.
Hopefully you can work this in without having to do much work.
In any case, the game is still quite enjoyable. Good job!