Is He Cheating

After 3 years and $200,000 later we finally have a baby. Then it started my husband started going to strip clubs over 3 months he spent almost $16,000 and claims he never had sex with any of the two girls he became so called friends with. It all started just one week after I had our baby He quit his job up there in st. louis for a less paying one back home. He thinks it was not cheating because I didn't no about it and he stopped to come back home to be a family again. what do u think . Should we pay for lie detector testing to see if it is true that he didn;t cheat? Or is paying for nude girls to rub on u cheating with lots of two way touching of privates. am i wrong to feel cheated?