According to this website (https://www.youreviewelectronics.com/reviews/lcd-tv-reviews/visio-vx37l-vw37l-review/) you have NTSC/ATSC/QAM tuners built-in. Now, reading from wikipedia tells me that ATSC/QAM are part of the new "digital TV" standard, and that ATSC tuners can read PAL signals. However, Europe is now on the AVB standard (their version of digital TV). Check out wikipedia at https://en.wikipedia.org/wiki/ATSC_Standards .
Now for the theorizing. I really am not an expert, but I think all these "built-in tuners" refer to signals received by your TV through the coax connection (like you connected your cable or rabbit ears straight to your TV). I haven't hooked my TV up like this for a very long time, usually putting some kind of digital recorder or cable box in between and hooking up to the S-video or HDMI port. This tells me that the BOX is the thing doing the tuning (sts), not your TV. So, if I had to guess, you could take your tv with you but you'd have to get the cable box or TiVo in Germany.
Why else would Vizio make the tv dual voltage if there's no way to get it to work overseas?
Something else that might complicate things is "region encoding." HDMI is a very smart system, designed first and foremost to fight piracy, so if your tv has been given a US-region designation the HDMI port might refuse any other region's signals. All pure speculation on my part...you might try one of those "Americans living overseas" support-type forums for a good answer to this.
-kp