The Next Generation Weapons
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Type-I Hand Phaser
Type-II Hand Phaser
Weapons Home
Most recent and very small version of the hand phaser.  Capable of 9 power settings.
Hand Phaser in use until 2365.

Called the 'dustbuster' phaser, it looked even stupider than it sounds.  Probably not seen a gerat deal for this reason, or perhaps because the generally-peaceful view of Star Trek at the time precluded such blatant carrying of weapons...
Hand phaser with 16 settings.

One feature which has been revealed about this model, and presumably all subsequent ones, is that it can be deactivated by remote computer control, as demonstrated in TNG's "A Matter of Time".  Of course, I can't recall any other instances of this being done - once again, an example of bad continuity for dramatic reasons...
Type-II Hand Phaser
Type-III Phaser Rifle
Heavy-duty weapon, not usually carried as part of a normal starship's manifest.  Rechargeable using powerpacks.