Getting Married - I already own house 100%, no mortgage

[Paul Haskell]

I need advice.  I just got divorced and own my house, flat out, 100% with no mortgage.  I'm debt free.  Per my divorce decree and local law, I cannot live with anyone (called "cohabitation") with my 5 year old daughter in the house.  So marriage is the only option if I want to have a woman live in my house while my child is with me (I have 50% child custody).

My question is:  If I get married to a woman who works, how do I ask her to contribute to monthly expenses?  There is no mortgage car payment or any debt payments whatsoever.  There's just electric bill, cable bill, internet bill, grocery bill, car & home insurance and car & home property taxes.  What is fair?

Because this will be my 3rd marriage and statistics on 3rd marriages are horrible (73% of 3rd marriages fail in divorce within 5 years), I cannot allow her to have any equity in the home.  I do wish to be a good man and take care of her but she will need to contribute something.  What is fair?  How do I present it?  I'd really like to hear from women because whichever woman I marry, I will truly love her and will not want her to feel cheated or bad in any way.  Thanks in advance!