YOU SAID:

I rode my bike to the pool and went for a swim.

INTO JAPANESE

私は自転車でプールに行き、泳ぎに行きました。

BACK INTO ENGLISH

I cycled to the pool and went swimming.

INTO JAPANESE

私はプールに自転車で行き、泳ぎに行きました。

BACK INTO ENGLISH

I cycled to the pool and went swimming.