iRule redirect help!

If you were going to use an iRule, I'd suggest something like this. (You can use

[string tolower XXX]

when HTTP_REQUEST {
    switch [string tolower [HTTP::path]] {
        "/" {
            HTTP::redirect "http://[HTTP::host]/home/live"
        }
        "/a" {
            HTTP::redirect "http://[HTTP::host]/a/"
        }
        "/testinst" {
            HTTP::redirect "http://[HTTP::host]/testinst/"
        }
        default {
        }
    }
}

If you're running 11.4 or later, you could also consider using a Local Traffic Policy instead since this would be a simple rule. (Here's a link on how to create a redirect). Because they're built into the core, local traffic policies are a little more efficient than an iRule.