Nice and easy, transfer your tetras to your 30 gallon,you will need to save as much of the water from your 10 gallon, to be used again.
On the first available day disconnect your filter and drain the water,then place filter in to an open plastic bag,remember the bacteria need oxygen,warmth and moisture,(not soaking wet or you will drown them).
Now drain the water into suitable containers that are clean with no traces of detergent or other nasties.
As this is a small tank you should be alright leaving the substrate in.
Disconnect all lighting etc,move to new location and reverse the procedure.
Return home for your fish when tank is back up to temp, move them to the 10 gallon and then repeat the procedure with the 30 gallon. 8)