This is a business venture this is not a class project I need to find out more information such as where can I find the start up cost of this type of business

Is this a combined business or separate businesses? Startup costs would include purchasing the property, renovating or building the facility, buying and installing the equipment (bowling lanes and/or rink), purchasing rental shoes or skates & bowling balls. Most such facilities have snack bars so that equipment would need to purchased and installed. There will also be licensing fees, employee costs, advertising costs. You would also need operating funds until the facility started earning a profit. That's just off the top of my head. There may be other costs.

I can't be specific about amounts because some of these costs are subject to locale, others are variable depending on amount or quality.