What I would do is
1st night stay at Conrad Centennial
Day 1 Fly SQ F to KUL (evening flight if you want to imbibe in Dom P in the lounge first)
2nd night stay at Hilton KL
Day 2 at KL
3rd night stay at Hilton PJ (not as nice but its cheap)
Day 3 & 4 side trip to beach
5th night stay at Hilton KL
Day 5 Fly MH F to SIN (evening flight)
6th night stay at Conrad Centennial
5 Hilton nights and stays, sample 2 of the best F lounges SQ at SIN and MH at KUL