Summary of Places

Singapore:
British Airways SGD 1,600

Santorini:
Easyjet SGD 250 + Airport to Termini, Leonardo Express SGD 23, 30 mins
(or Trevession bus SGD 7, 60 mins)

Rome:
Italiarail trains SGD 50, 1.5h
(Termini to Airport, Leonardo Express SGD 23 + AlItalia flight SGD 200)

Florence (Santa Maria Novella):
Train, 2h, SGD 35

Venice (Mestre):
Night Thello Train to Vienna - help for "cabin A2 -interna (whole)" found here SGD 100/person
Vienna to Budapest SGD 50-68
Train connections - very useful website


Budapest (Keleti)
Czech Republic Night train, 8h SGD 130/person
or  HungaryTrain Day(5am-12pm or 3pm-10pm): SGD 32/ person,  Night train: SGD 115/person

Prague:
Easyjet Flight + Baggage SGD 105

Amsterdam:
Easyjet Flight + Baggage SGD 105

Manchester:
Megabus SGD 11, 5h
(Virgintrains SGD, 73, 2h)
Check for good deals for trains here and here. As low as SGD 20

London:
1200


Total Transport Money needed:
1600 + 250 + 25 + 50 + 35 + 100 + 60 + 32 + 105 + 105 + 11 + 1200 = $3573