There is currently no way to export your Design from EasyEDA in a way that supports assembly.
We do support other tools like Kicad, Eagle and Altium. For a overview you can check our compatibility matrix .
We dont have a limited part catalog, this means you can choose comonents from our supported Distributors like Mouser, Digikey, Arrow, and Farnell. When designing your PCB you can take a look on their Websites or Octopart to check for stock. After you upload your design you can assign the components in the “Parts” Tab, there you will get a offer for your BOM that is valid for 24h.