You don't mention any moons or gravitational effects, so I'll go ahead and assume you don't have any. You sort of need some sort of rotational activity otherwise you don't have days. There'd have to be a magnetosphere or else you won't hold on to any atmosphere. All that means that you don't have tides, and may not have seasons (unless you have a "wobble"). That's all going to have profound effects on your weather systems.
New Earth is currently roughly smooth and featureless. You're going to have to dig out the Mariana trench, and dump the material onto somewhere you want land mass. You're going to have to scrape up enough material from just about everywhere to make Everest and all the Himalayan mountain range. And so the list goes on.
Instead of all that, go cheap. Start by ground-working a load of levees by scraping up material in what will be the ocean and making "soil walls" where the edges of the land will be. Now get out your galactic hose pipe and start filling up the oceans with water.
At some point, some of that water will evaporate and will be carried by the atmosphere to some other location, where it will fall as precipitation. You've now got a puddle on a bit of the planet where land was supposed to go. You can now scrape out rivers and lakes and let that water fill those spaces. Water left sitting still will start to stagnate though, so you can throw in a pump or two to make it flow, and empty out over the top of your levees back into the seas.
At some point someone's going to want to build an earth bank in their back garden. Soil can be obtained by digging out a river (if one is required), or by digging out the ocean. You could even pre-prepare by having "soil mines" in the middle of the oceans (remember, they're uniform depth, so the mines can have levees around them like the land mass does). If someone wants soil, they mine it from the middle of the ocean and bring it back to wherever they live. Sure, it costs a bit to do, but essentially you've pushed the cost to someone else rather than the original terraformers.
I'll admit you're really creating Theme Park New Earth, rather than one completely indistinguishable from the original. I said it was cheap, not perfect! I guess over the next 200 years, you might have mined enough of the soil from the oceans to have got the depth required, and the necessary material to make hills and mountains too, but by then the original terraformers will be long since departed leaving their descendants to do the work they avoided all those years ago.