各位大师请帮忙修改一下这段话（我自己写的）的语法或单词错误,
1.In winter vacation ,my family went to Tianmu lake .
Tianmu lake is a beatiful lake .There’re many hills around the lake ,and on the hills ,there have hot springs.People usually go for a walk to the hill,and see the lake.
2.We went to the hot spring on the hill.On the hill,there have 13 hot spring pools.I like the ross hot spring pool and lavender hot spring pool best ,they smell so fragrance .
We sat in the hot spring ,so we didn’t cold,and we can saw the lake.The lake was so dark ,but I like it ,it like a black diamond ,pretty and mysterious .
Tianmu lake have the yummy food--- Tianmu lake fish head .
3.At last ,we went to a good restaurant ,many visitors went to Tianmu lake,purpose is eat the fish head.So I think ,the fish head is very delicious.
We bought a fish head ,it was so good ,but it was much expensive ,about 400 yuan .