if 2 verbs come after each other in turkish what dow e do? which one do we conjugate and which one do we keep in the infitive?or in its base form? or dowe conjugate both of them? like i want to speak turkish., would be turkce konusmak istiyorum? or turkce konusuyorum istmak? or what would happen?!?!?

We use first verb in an English sentence as last (main) verb in its Turkish form.

I´m not a teacher but I hope you could understand.

So "Türkçe konuşmak istiyorum" is correct.