(Ver 2)First, firstly, initially, start, beginning

First, firstly, initially, start, beginning
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I would like to know if I am correct in understanding the following:
[I have done the comparison and enclose further questions inside, please feel free to download a document at [url="http://hk.geocities.com/wai_wai_sir/my_eng_q/compare_first.doc"][/url]]


What are the differences among the following:

At first
At long first
First(adv)
First of all
First and foremost
In the first place

Firstly
Initially
Originally

To start with
In the start
At the start

To begin with
In the beginning
At the beginning