Times change, attitudes change, ammo changes, etc., but some things stay around for a long time, like people's memory of Dirty Harry saying how the .44 Mag would blow your "head clean off.."
For self defense, factory ammo, .44Magun caliber, I think the Winchester Silvertips are as good as anything. They are a lighter load than the standard .44 Mag ammo.
A good .44 Special load is even better, having both sufficient power and being a bit more controllable in rapid fire.
A .44 Magnum isn't the best choice for personal defense, because of both the reputation it has (which could be a factor in court) and because most .44 Mag ammo is way overpowered for self defense, making fast follow up shots very difficult.
But, if its what you have, it will serve just fine, if you load it with the right ammo. Hunting loads are not the best choice.