Congrats on wearing your first set! As someone who also likes to carve a lot, tires are a wear item.
Esk8 tires are mostly standard sizes (except the ones that aren’t)
Undoubtedly the best tire for the Tynee is mboard’s nova, imo. You’ll feel a massive difference when you upgrade, and they last a long time. I did a short writeup on them here MBoards NOVA Tires Discussion - #6 by tuckjohn