The short answer is that it seems to be standard policy for Starfleet personnel to transport with both hands free, facing the front of the transporter. There are a few instances in Enterprise, Voyager and TNG where the crew beam into hostile situations with their phasers drawn or standing in a circle (or both) but these are very much the exception rather than the rule.

**TNG : Legacy**                                                           **TOS: Day of the Dove**  
![enter image description here][1] ![enter image description here][2]

As to *why* they keep their weapons drawn (and their hands inside the circle), the [Star Trek : Deep Space Nine - Technical Manual][3] seems to suggest that it's a question of *transport efficiency* to keep everything directly above a single pad.

![enter image description here][4] 


  [1]: https://i.sstatic.net/sN6sV.gif
  [2]: https://i.sstatic.net/y9hJs.gif
  [3]: http://en.memory-alpha.org/wiki/Star_Trek:_Deep_Space_Nine_Technical_Manual
  [4]: https://i.sstatic.net/0iOfg.png