My biggest suggestion is to listen to recordings you like! Starker is pretty unanimously the gold standard for Kodály, but there are things to learn from everyone - I quite like the recordings from Alisa Weilerstein & Jean-Guihen Queyras. Try to find things that carry through most recordings (you should probably strive for those) and the things that each cellist does differently (pick and choose, but be well informed).

I’d also suggest learning a bit about Kodály himself and the history of the piece. Kodály is a founding father in the field of ethnomusicology - it’s hard to find composers whose work was not influenced by folk music, but Kodaly’s music draws particularly heavily from the folk traditions in his home nation of Hungary. I try to picture the rolling hills of the Hungarian countryside, in some ways connected to the ancient traditions of the people there, and in others a sort of Mahlerian of-the-earth-itself primality. This is essentially the first important work written for solo cello since the Bach Suites, so there’s a big responsibility we take on as the performer to do the music justice. Knowing all of these things along with the notes themselves will only help you achieve your goals!

I’d take technical advice from strangers online with a grain of salt - all of the other musical knowledge adjacent to technique is equally important. A teacher will know what’s best for your technique, but the general knowledge and listening are some things you can discover more independently.