I don't want to do anything that would hold either us or them back.
I don't want to do anything that would hinder their business or ours.
「足を引っ張る」は “hold back” とか “hinder” とか “get in the way of” とか言います。この中で “hinder” が一番フォーマル・レベル高い言葉です。 “anything that would ____” は「＿＿＿＿ するような事何でも」です。例えば “Do you have any ideas for games that the kids can play? Anything that would be dangerous is out of the question.” （子供が出来る遊びは何かアイディアありますか？危険になるようなことはもちろんだめです。）
アメリカ合衆国 
