While vampires are more flammable than the average creature, incendiary bullets, even of the calibre you suggest, will pass through them too quickly to do significant harm. Vampires are nigh invulnerable. Silver is only especially effective against werewolves.
To properly vanquish a vampire and have it rest at peace, you must do the following:
1. Find the vampire asleep in it's lair. This will usually be a casket of some kind, and if it has been moved from its original burial site, it may be lined with earth from that region.
2. Pound a wooden stake through the heart of the vampire, through the bottom of the casket (if any), and into the ground below. Alternately, you could wrestle the vampire to the ground, but this is dangerous. The important part is to pin it to the ground with a stake through its heart
3. Cut off the vampire's head and burn it.
While these talismans can be effective vampire repellants (though they will not kill a vampire) their power derives from the faith of the user, and not the nature of the object (i.e. a cross or holy water will only repell a vampire if a devout Christian is using it. Other holy symbols may work for those of other faiths.)From what I understand, the Cross, Holy Water, Garlic Ropes, etc are useless.
Vampires cannot enter a dwelling without an invitation. If you see one lurking outside your home. do not ask it to come in and you will be safe. Likewise, do not let it persuade you to come outside.