I've used Anglo-Pacific and they were fine. Also KC Dat (who are considered v good). Also Allied Pickfords, and Crown, or what's now called Crown Pacific IIRC. Note that most companies have partnership agreements, such that you say pack up at home with company 1, it's shipped and company 2 does this end of things, and vice versa.
There is a separate topic, or 'Sticky Topic', likely in the Relo sub-group titled 'What to bring'. Here ...
http://forum.singaporeexpats.com/viewtopic.php?t=103156. That discusses the pros and cons and covers stuff like sofas, beds, etc.
IIRC. Give it a scan and see if it helps, if those 'bulky items' aren't specifically discussed then say so, as there are some downsides to simply shipping everything, then having to chuck stuff out when it either won't fit, or it's provided in the rental here.
- Could the funds to move stuff be morphed into 'funds to move stuff and funds to store stuff back home'? If so that might simplify things for you.