As you can see my weakness is actually getting all of the csv file names into an array. I think this is going to be solved with a map command but I wasn't able to figure it out myself.

Consider using @ARGV instead of hardwiring the input file names inside the script. And also consider using STDOUT instead of hardwiring the output file name inside the script.

I like File::Glob::bsd_glob().

#!perl

use strict;
use warnings;

use English qw( -no_match_vars );
use File::Glob qw( bsd_glob );

@ARGV or die "Usage: perl $PROGRAM_NAME <CSV file> ...\n";

@ARGV = map { bsd_glob($ARG) } @ARGV;

while (my $row = <ARGV>) {
    # Presumably, something useful happens to $row here;
    # otherwise this script is just cat(1) in Perl

    print $row;
}

exit 0;
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Jim