How to create column by get everything after and before some characters

I have table in SQL Server like below:

select col from table

col1
------
02-567 City, ul. ABc 44, woj. Zak
56-123 City2, ul. Grt 78, woj. Maaap
44-153 Raw, Pl. 777, woj. Rapat

And I need to create query which will give me result like below:

col1                                  col2   col3
----------------------------------------------------
02-567 City, ul. ABc 44, woj. Zak     City   ul. ABc 44
56-123 City2, ul. Grt 78, woj. Maaap  City2  ul. Grt 78
44-153 Raw, Pl. 777, woj. Rapat       Raw    Pl. 777

So:

• 1. To create col2 I need to take everything after first space till first coma
• 2. To create col3 I need to take everything which start after space after first coma till second coma

How can I do than in SQL Server?

select col1
, col2 = right(left(col1,charindex(',',col1)-1),charindex(',',col1)-1-charindex(' ',col1))
, col3 = ltrim(replace(reverse(parsename(replace(replace(reverse(col1),'.','•'),',','.'),2)),'•','.'))
from [table]

Ugly, I know.