I'm in the process of moving out of a share house and in with my partner.
Share House: If you're moving into an established one, they'll probably see it as a good thing if you don't have much shit. Share houses are full of too much of the resident's crap, combined with former residents crap. If you don't bring much crap to the house, it's good.
If you're starting one, pick things for each of you to get rather than splitting things. Say the landlord hikes the rent up 40% when you renew your lease in 6 months, and you all have to find alternate accommodation... but you all own 1/3 of the fridge...
Start up: My bond was $420. You'll need that in cash.
Furniture: completely depenant on what you need/want. I just got a second hand washer and fridge off a guy moving overseas for $200. New the pair would've been $1500ish.
I'm not afraid or ashamed of hard rubbish furniture. Ebay is good for people who just want you to get rid of furniture, so if you have a means to ute it for free, you're laughing.
Bills: it depends on your expenses. Internet, phone, water, power, cable tv... decide what you want/need/can afford.
Naked DSL does away with the phone line if you predominately use your mobiles, and also does away with disputes over who made what call.
My current expenses are around $520 a month for rent and bills sharing with 2 people ($110 a week in rent - In Adelaide that gets me a room in a recently renovated place about 6km from the city - in Sydney for the same you'd be looking in and around $150-200). I make do on about $260 groceries a month. So, just to survive, I need an income in a share house of around $200 a week.
Then any fun money, and "in case shit" money goes on top of that. As a povo student I budgeted around $100 for those two but it depends on your spending habits.
I'd say realistically, you'll want around $1000 saved you can spend on stuff, and a reliable income of at least $300 a week.