i know that たち could be the 2nd stem of たつ or could be the plural indicator, and i sound a definition of すねる on jisho.org which said
Ichidan verb, intransitive verb 1. to be peevish; to sulk; to poutUsually written using kana alone
however in the context of the sentence, i can't make sense of it let alone work out what it means with たち attached.
for context, the sentence is:
すぐにすねるたちで、すねた横顔はジェームズ・ディーンに似ていた。