"Have a head start"可不是"从头开始"

give sb a head start或者sb get/have a head start

给某人起步前的优势；某人获得起步前的优势/赢在起跑线上

•Give your children↗ a head start / by sending them to nursery school. ↘

送孩子上幼儿园，让他们赢在起跑线上。

get off to a flying/good/bad start 开端良好/很糟

If someone or something gets off to a flying start, or makes a flying start, they start very well, for example, in a race or a new job. 
•Advertising revenue↗ / in the new financial year has 

got off to a flying start. ↘
广告收入在新的财政年度开端良好。

make a fresh start 重新开始，重振旗鼓

when you start something again in a completely new and different way after being unsuccessful

•I hope Jim↗and I can get back together / and make a fresh start. ↘

我希望吉姆和我能够复合，重新开始。