Guangzhou to Guilin by train

Taking the train from Guangzhou South to Guilin directly from Guangzhou Baiyun airport - tickets booth.

We will arrive at GuangZhou Baiyun at noon this Sunday.

We are 3 people each with 30” luggage bags.

Can I seek advice: is traveling from airport to train station should be by metro or car?

Prioritising speed before comfort.

Thanks!