If you are opening a pizza restaurant, then go with Owner.
If you are starting a tech company that you want to grow into the millions in revenue, CEO/ Founder is fine (both).
There are people that think that a "CEO" title for a company with 2 people (for example) is egotistical and looks bad. So, they stick with Founder and other titles early on.
Although well placed (I thought that, too), I don't agree.
When I'm trying to talk to who represents a company (for investment or doing a business deal) I want to know who the CEO is so I can talk to them. I don't want to wade through a bunch of Founder titles, I want to know the designated point person for this business.