I am currently working on my dissertation project where my data are essentially all dummies. From my dependent to my independent variables, everything is a dummy variable (0,1), at least for the preliminary model. The data are cross-sectional.

I was wondering what the best model to use would be. I have decided to do a simple regression followed by logit and probit. Does that sounds like it covers everything? I have some interaction terms too. Also, what tests I can use?