[Hampshire] Converting a .TS Video Stream file

I'm looking for something that can convert a .TS Video stream file into
something (sigh) playable with Windows Media Player.
Ok, I know... Windows and all that but the target System is heavily (and
I mean heavily, no access to Start Menu) locked down.

The files I need to convert are on a Hummy PVR. I can get them copied
onto an XP System but none of the tools I have tried so far can convert
the output into a .mov or mpeg4 file without losing audio sync.

Any ideas?
Naturally, the budget for the exercise is zero hence my looking for
something in the Linux world.

Stephen D