An alternative, for lifeline purposes for just a few days, is to get a local PAYG SIM. You can get one on-the-spot from any 7-11 (take ID with you... the state like knowing who owns which #s). I'd get top-ups from 7-11 too, or NTUC Express*.
You can get on-the-spot pre-paid mobile broadband too, and hook yourself up using a dongle. We got ours from the neighbourhood Starhub shop. IIRC S$18 for the SIM, and that included S$18 of 'air-time'. But they oblige you to buy their dongle for which they charge you $80!. I'd then buy subsequent top-ups on-line.
I imagine broadband might take as long to set-up as long as it takes for you to receive/collect their BB router. Don't know.
Depending on where you end up living your future home might have a fibre connection. Ours does, and it was something completely new to me. That took a month to set up, as an engineer had to visit and 'do something' at the terminal-box end. Looking in the cupboard just now there is a modem and a router in there. I think the latter provides wi-fi. That works just fine in the lounge, but we can't connect onto it from any other room (too much ferro-concrete?). So to get connected in other rooms, we use a thing called Homeplug, that sends data via the pre-existing 240V electrical mains cabling. A pretty amazing concept to me, and it works very well!
In our previous place I couldn't get wi-fi in the study (right next to the lounge/router), but we could in the bedrooms, that were were further away. I.e. it seems pretty hit and miss what works where.
The above is just an overview of how we got started, through to the rig we have ended up with. Hope it may be of some use.
Excited/nervous is the way to be! If you were cool about everything I'd be worried

'Sunny', hmm well it's monsoon right now; so it rains most afternoons. I don't remember when I last saw the sun, quite a while.
While I remember be sure to read a topic here called something like 'What to bring'.
Most of the regulars on here have been here a while (we even have our own version of John Rambo (got drafted to Vietnam, and never went home))
* If you go this route stick with the $18 top-up cards. One time I got a $28 card. They look almost identical but the $28 card doesn't top up mobile broadband (i.e. I still have that S$28 card sitting around unused)