As stated, LWP::UserAgent will be of help here, but make sure to look at the requests_redirectable option if you want to actually see if the URL returns a 300-code. If you leave HEAD and GET as requests_redirectable values, you'll get the results of the codes after the redirection.
my $ua = LWP::UserAgent->new( requests_redirectable =>  );
my $r = $ua->head($_);
print $_,": ",$r->code,"\n";
In this case, the tinyurl URL will return 301. If you leave the request_redirectable option as default, you'll get 200 as status code (coming from perlmonks.org, not tinyurl.com).
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