I've done this many times - transitting through SIN/HKG/KUL/BKK for an onward flight to DPS.

For the best stress-free travel, I would advise staying overnight when you arrive at the BA gateway and continuing onwards in the morning. I have seen too many stressed and sweating passengers, worrying all through their 12 hour flights about missing their onward connections. It's just not worth it.

HKG has the Regal Hotel connected to the airport. BKK has the Novotel connected to the airport. SIN has a transit hotel (fairly grotty) within the airport.

If you wish to transfer straight through, then the best options are:
* A BA-CX connection at HKG, as BA will tag the bags through to your final destination. However, depending on where you are travelling to, there may be no same day connection.
* A BA-MH connection at KUL. Same will apply. The bags MUST be tagged through, as there can be incredibly long waits for immigration.
* A BA-XX connection at SIN. Riskier, as you will need to collect bags and re-check them (I don't think the transfer counter will fish our bags for on onward on JQ or other LCC). I would allow a minimum of 3 hours between flights and have a back-up plan (ie know when the next flight is, if you miss it, or buy refundable tickets even on the next flight as a back-up).