I land at KLIA at midnight with a single 20KG bag

what's the best way to singapore? tuas is preferable to woodlands.
sounds like I'll have to spend the night at KUL and travel in the morning

1) LCC flying KUL-SIN
SGD $20 + $20 bag fee = $40
6-7am, <2 hours

2) Bus
Need to get to KL city center, then 4 hour bus
SGD $20-$40, depending what level of comfort I want


3) Train
6 hours, not worth the effort to switch so many times (KL Sentral, Gemas, Johor)