Been getting prompted to update flash on login, I finally agreed and it lead to "Adobe - Adobe Flash Player Download "
Just double checking this is a legit link as I've gone through the update process already, then noticed.
Yes, the link you have been redirected to is a legitimate link. You would have opted for "Notify me to install updates" option while installing Flash Player, that is why you got the update pop-up. In case you do not want the pop-up and follow the manual update process, you can opt for "Allow Adobe to install updates" option and will receive automatic updates of Flash Player within 24 hours of it being released.