The main influence on the kind of contracts you can get is the way you market yourself.
Don't market yourself as a 3 man team, market yourself just as a consultancy, don't explicitly state the size. Have a nice portfolio and people will just see what they want to. If you can complete the work asked for then I wouldn't see this as an issue, although some people would.
Some good contracts to start with (at least in the UK), are small government tenders. I don't know where you're from or what the system is like there.
Also try target more upmarket clientele. Law firms etc. Instead of charging a large fee for the work, charge a smaller fee but have a recurring monthly support cost. If they want the site updated do that, if they have some small feature to add, add it (within reason, some clients will try take advantage of this).