Why don't you give it a try? I think you might be surprised how much you like it.
You should give it a whirl. You might really like it.
この場合、次のような言い方ができますよ。
ーWhy don't you give it a try? I think you might be surprised how much you like it.
「やってみたら?意外と気にいるかもしれないよ」
to give it a try で「試しにやってみる」
ーYou should give it a whirl. You might really like it.
「やってみなよ。すごく気にいるかもよ」
to give it a whirl で「やってみる・試してみる」
ご参考まで!