I will go get my driver's license renewed next week, even though it's such a hassle.
Since I can't do anything without my driver's license, I will go get it renewed next week.
ご質問ありがとうございます。
① "I will go get my driver's license renewed next week"=「私は来週、運転免許証の更新をしてくる」
"even though it's such a hassle."=「それはとても面倒なことだけど。」
② "Since I can't do anything without my driver's license"=「運転免許証無しでは何もできないので」
"I will go get it renewed next week."=「来週、それを更新しに行く。」
ご参考に。