They will pick up at the Leaping Salmon and Elizabethan pubs on the way through town and return after the match is finished (extra time and penalties are possible).
A place is £10 for adults and £5 for child concessions.
Contact George 07764189983 or Allistair 07969 808732.
Names must be submitted in advance of travel so that buses can be organised.
Berwick were rewarded with this tie after their hard-fought victory over Livingston, while The Rangers easily overcame Albion, 0-4.
The tie in Glasgow comes just three days after another away trip for Rangers, to Montrose.
The two teams met four times in the Third Division last season.
Berwick took a solitary point off their Glaswegian namesakes, in the first of those games, at Shielfield, although they were unlucky not to grab a win.
Results at Ibrox were less heartening, The Rangers showing their strength in front of their home support: they won 4-2 in January, and by a single goal on the last day of the season.