Will becoming a stripper harm my chances at child custody?

It will be a factor, but not necessarily a huge factor. Stripping is not illegal. Nor, quite frankly, is it immoral. Many young women have chosen this job to pay their bills and make extra money. While some may try to pain stripping as prostitution, it is not. However, I would not share this information with your ex unless it is absolutely necessary, nor would I lie about it if the question is specifically asked. (example: Do you work? Your answer is "Yes." not... Yes, I am a Stripper.) On the other hand, if you worked at McDonalds, Starbucks or in a lab curing cancer, I would advise you to answer the exact same way. Your business is your business, not his. Good luck.