I had a really nasty female once who DID NOT ACCEPT BEING TAKEN OUT OF THE CAGE O-O She absolutely FREAKED every time I tried, neverevereverever did I ever do anything to make her hate being taken out (I'm very gentle to all of my rats, even feeders), she just wasn't okay with it.
One day I just give up trying to do it the nice way and grabbed her by the tail and hauled her out. It was by the base of the tail, with it firmly gripped so no injury would ensue. The same goes for mice, grab as close to the base as possible and have a firm, but not squeezing, grip.
But yeah...I've picked up rats by the tail. My gloves love to hide whenever there needed x)