Well fun is subjective, and you haven't really outlined what is fun for you, just that you hate the idea of death saving throws. So is your goal for character death to happen more often and more likely be the result of the dice rather than player choice or character action?
Without some transition period between being alive and dead, it can lead to situations where death is anticlimactic, and there is less tension because there is no opportunity for your teammates to intervene. In my experience, if players are not prepared for this and accepting of it, then it can lead to hurt feelings or a sense that the hero they put so much time and effort into creating was ripped from them.
If you want more player death, than remove the death saving throw. More hit points won't negate or balance the removal of death saves I don't think, because even at half HP or even full for the weaker characters, a well rolled fireball can still kill everyone without any opportunity for recourse.
You could always adopt the previous death and dying rules as posed by [MENTION=6857879]neogod22[/MENTION], or consider any number of methods. But it is hard to provide adequate assistance if all we know is that you want to remove the death save, but cannot define the purpose or end goal outside of that. Because it's easy enough to just say "No more death saves." You don't need us for that, if that's all you want.