Dry cleaners are quite new - they took over the old laundry about 3 months ago so hopefully they won't be closing down just yet.
Underpass is well used - I used it today! It's very useful and there's a turnstile gate right next to it so you can just pop though that and be down at the park within minutes.
not sure about Shenton way - I think the 196 and 908 go down there, but would probably take a while. you'd have to investigate. There is some sort of exec bus which goes along in the mornings too - number 541. I think it actually goes to Shenton way. Not sure what the deal is with it but those who get on are always office types and they use ezlink cards to pay. It's run by Bus Plus
Cabs go past all the time along Marine Parade. Can be quite a few people flagging them down in the mornings, but I'm sure you'll work out the best times to get one.
If the furnishings are dreary - tell the agent you want new ones. it's a renters market and they should be able to sort you out.