If you do your trend removal well, you shouldn't see a big difference between Universal and Ordinary/Simple kriging. As a general rule, we suggest using Simple kriging because it supports Normal Score Transformations.
The difference between Ordinary/Simple and Universal is subtle and a bit confusing. The trend removal page is essentially just changing your input data by removing the trend that you fit. Then the semivariogram is fit to the detrended data. The difference between Ordinary/Simple and Universal is that Universal goes back and re-fits a global trend model to the data that has already been detrended (it has to do this for the Universal kriging equations to work). If you did your trend removal well, there should be very little global trend left to re-estimate, and Ordinary/Simple and Universal kriging should give very similar results.