You would use "Türkçe konuşuyorum" if you are currently speaking Turkish. If you just want to tell the fact that you can speak Turkish, use the verb "bilmek" (to know) instead. You can also just say "Türkçe konuşabilyorum" if that makes more sense to you. As a native speak, I would either say "Türkçe biliyorum" or "Türkçe konuşabiliyorum" if I wanted to state the fact that I am able to speak Turkish. You can use "akıcı bir şekilde" only with the verb "konuşmak". It literally means flowing, you can think of it as the words flow from your mouth since you know it so well (if that helps you understand it better). And again, if you want to state the fact that you are able to speak Turkish use "Akıcı bir şekilde Türkçe konuşabiliyorum". Hope this helped!

Dear Ertugrul, thank you so much for the explanation. Just one more question. If someone asks you, "İngilizce konuşuyor musun? - As, do you speak English?" Instead of İngilizce biliyor musun or say Ben akıcı şekilde Türkçe konuşuyorum. As a native speaker would you feel the difference? I know, you would anyway understand the meaning but I want to know the details. Thanks again

I believe you should use "biliyorum ( bilmek- to know) " instead of " konuşuyorum (konuşmak- to speak)" for example if you wanna ask to somebody if he or she can speak turkish , you need to say " can you/do you speak turkish ? " , but in turkish we're saying "do you know turkish (türkçe biliyormusun)" just like that when you say to somebody "I speak English, Russian and Spanish " you must say " Ben ingilizce rusça ve ispanyolca biliyorum ."(I know English ,Russian and Spanish)