How can a string to converted to a string[]?

I'm just guessing you want to split it into the items which are separated by commas, and that bits simple:

string[] parts = s.Split(',');

But if you also want to dump the square brackets and the double quotes, that's a little more work:

string s = "[\"A01B001\",\"BM OB-A-1\",\"A01\",\"BENCHMARK\",\"PRIVATE\",\"BRASS DISK\"]";
string[] parts = s.Split("\"[],".ToArray(), StringSplitOptions.RemoveEmptyEntries);

Will do it.

In addition to Solutions 1 and 3.
When you want to do pattern matching, the tool to use is Regular Expressions.
Basically, RegEx is used when you want to check that a string match or contain a given format like date, floating point number, integer, phone number ...
One usage is also to split a string in pieces.

Here is a link to RegEx documentation:
perlre - perldoc.perl.org[^]
Here is links to tools to help build RegEx and debug them:
.NET Regex Tester - Regex Storm[^]
Expresso Regular Expression Tool[^]
This one show you the RegEx as a nice graph which is really helpful to understand what is doing a RegEx:
Debuggex: Online visual regex tester. JavaScript, Python, and PCRE.[^]