We saw serious hand tremors in Jon when he was on Depakote (Valproic Acid) -- to the point where he was unable to hold a spoon or fork to feed himself, and handwriting at school was nothing but 30 minutes of tears and tantrums (his teacher would send home his handwriting homework, and I'd just laugh -- finally had to have a meeting with his Occupational Therapist, teacher, and school principal about unreasonable expectations from his kindergarten teacher in his special ed class that he could write 1/4" letters when he couldn't even hold a pencil). He also had whole body tremors when he would wake up -- he'd just be shaking all over. That all resolved when he went off the Depakote, and he was finally able to make some progress with fine motor skills.
Time zones and meds: we travel frequently internationally. Keeping up with med schedule is easier if you have only one or two doses a day. But...the trick is to go by the time back home, not the time where you are, and then gradually transitioning over. You can start the transition before leaving.
For instance, say you take meds twice daily -- morning and night. So, in EDT (east coast US), you'd be taking it maybe around 7 AM and 7 PM, which would correspond to 2:30 PM and 2:30 AM in Germany. So, since obviously you wouldn't want to be waking up at 2:30 AM in Germany to take your meds, you'd want to gradually transition. So, several days before leaving the US, you could bump your meds from 7 AM and PM, to 8 AM and 8 PM, and then to 9 AM and 9 PM (which would translate to 4:30 PM and 4:30 AM in Germany). On your first day in Germany, you could then do another 1 hour bump to 5:30 AM and 5:30 PM (which would translate to 10 PM and 10 AM back home), and bump that by one hour until you get to the regular time. Actually, you can probably bump by 2 hours each day without problem if you have a med with a long half life -- like any of the benzodiazepines or zonegran.
The tricky part is when you're actually traveling -- figuring out when to take meds. What we do is my husband keeps his watch set to time back home (so we can remember when to give meds), and I keep my watch set to wherever we are at the present time.