"I don't feel comfortable telling people that I don't like to travel so I try avoid it."
"I don't feel comfortable telling people that I don't like to travel so I avoid it."
"I don't feel comfortable ~" 「〜のは気が引ける」
"telling people that~" 「〜と公言する」
"I don't like to travel" 「旅行が好きじゃない」・「旅行が嫌い」
"so I avoid it" 「なので避ける」痛くないことがあるならそのことを言うのを避けると言う表現です。