The plants' roots were starting to fight for their space, so I transplanted my flowers.
The space was getting pretty small for the roots, so I transplanted my flowers.
ご質問ありがとうございます。
① "The plants' roots were starting to fight for their space,"=「株が自分たちのスペースの奪い合いをし始めていました。」
"so I transplanted my flowers."=「なので、花の植え替えをしました。」
② "The space was getting pretty small for the roots"=「株のスペースがかなり狭くなってきていました」
(同上)
ご参考に。