I have a Marketless tablet (Coby Kyros), and I bought a Samsung Captivate (AT&T).
Will I be able to copy the apk's I download from the phone into the tablet?
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Another option is to use Dropbox to transfer the apks. That was how I got them on my Archos tab before I got the market on there. Dropbox lets you download the dropbox app directly from their website, so there's no market needed. After that all you have to do is send every apk from your phone that you want onto your tablet to Dropbox, then you can install them directly from there.
If they were free applications, then you will be able to copy them over easily. If they are paid applications, you will need to go to Market>(Menu Button)>My Apps to download them. Good thing they're bound to the Google account! Of course, this hinges on whether you get a tablet that has market. I think the Archos tablets and similar devices did not have it, but the Honeycomb tablets do.