Ready to start ice hockey?

Hi everyone just wanted some advice/insight from people who already play hockey.

Ive been skating regularly for 2 full months now, I can do forward crossovers in both directions, hockey stop but only on one side, skate backwards and do backwards crossovers also only in one direction.

Is it best to address my weak sides for hockey stops and backwards crossovers before I start handling a stick and puck or does it not really matter from your experience.

Any insight will be greatly appreciated!