Some more tips:
1. Don't F people around and don't let them F you around. For example if you agree on a price don't try and haggle with small amounts after a building inspection report (an old tactic used by heaps of people). Get the report first and use it to negotiate the price so everyone has a set amount firmly agreed upon. Reason is if they get pissed off they will fill the drains with dirt or have some way of making you pay. Also if a vendor attempts to gazump you just walk away no matter how much you love the place. You will find those types always have something else well hidden that will cost you later anyway. Big purchases involve a lot of karma.
2. There is more to having a big house to impress everyone and leave yourself very short of cash. It takes a long time to pay a place off so leave plenty of room and money for things that can go wrong and more importantly for still enjoying life. Nothing worse than having the best place and being miserable.
3. Banks will lend you any amount so long as they believe they can recover it through guarantors or other assets, or by selling the house you buy. Budget carefully so you know what you can really afford and not believe what the banks say you should borrow. I can't tell you how many times i have been offered more money than I could afford to repay.
4. Watch the structure of the loan repayment carefully. They lend you money and you don't start paying the first mortgage payment until some time later but the interest accrues from the day the money is advanced. I will never forget getting my first annual statement to discover after a year of payments I owed them more than I borrowed because of this.
5. Don't believe a single word printed in sales literature or comments made by a real estate agent. Check or get your solicitor to check everything thoroughly. Land size, easements, covenants, future zoning, neighbour developments all get politely mistorted during a sales campaign.
6. Make an allowance of up to 10% to personalise a place so that you are happy living there. If it is brand new it won't matter much, but if not be prepared for lots of cash to go making certain rooms inhabitable (anything with plumbing, electrics or landscaping costs plenty). If moving from a smaller place to a bigger one you will spend buckets on extra furniture.
7. If you have the finance and all the checks can be done quickly think of paying early and get a price discount. On 350k a vendor will lose 2k in 5 weeks.
Hope this helps. Fluffy's tips are spot on.