1) First take all suggestions from online advisors with a grain of salt. You never know what their agenda is.
2) You don't mention what area you work in. That may help dictate which machine dealer services the best.
3) I do not know about Takamaz. Both Doosan and Okuma are reputable companies with decent machines. The largest part of your quest should be devoted to not which machine, but which dealer will give you the best support in service.
4) If you Truly wish to find the best machine, go kick the tires. Sketch a simple part for all 3 machines to program Turn, thread, cross-drill & tap - Specify speeds and feeds so you can check response times. They can cut air if needed, but you can watch and learn.