Would you like to start an English School with me.
Would you like to open an English Language School with me.
相手に何か招待するときや、依頼するときは英語で、'Would you'を使うのが’丁寧な言い方となります。
例えば、
Would you like to have a cup of coffee with me:一緒にコーヒー飲みにいきませんか
Would you like to join us for dinner tonight:今夜一緒に夕食をしませんか