well, for starters what I like to do is the tried and true colony rush. Now this may pose as a bit of an economic hurdle, but with a little luck you'll do ok. I might build some factories on the first two plantes, but everything else I colonise is starport only (and they build, that's right, more colony ships.)
Once I've researched the first economic tech, I make sure to build the econ structure on all of those planets. Generally it's an apporx 10% gain, but it helps. The second structure might be the recruiting facility - 10% econ + 10% pop growth for 1bc maintenance - the thing pays for itself!
Then, when the trade tech is a three turn item, I'll go for it, and build freighters from my highest PQ colonies (I don't know if having more population means more trade, but to me, it makes a psychological difference.)
Once the "rush" is over, I tend to focus on on setting up trade routes and econ starbases with the trade upgrades.
Now, sometimes I do get myself into some econ trouble, but I hope that my flagship finds a few 1000 bc anamolies.
When I start to run low on the moula, I'll simple sell my techs to the other races - the minors usually have money to burn, so I mainly sell to them.
I may also have to reduce my production capacity as well, but I'll continually move it closer to 100% as more money is generated. This may only last for a short period though.
I've managed to use this strategy with almost every race. Some are easier than others. I've found the Yor requires a little more research into the econ tech tree, but it's still doable.
Good luck!