telecommuting from the CZ (Prague)

Hello all. Wondering if anybody has any experience with this and can enlighten me. The wife and I are considering moving back to the CZ (she is a Czech citizen) but we both own our own separate businesses here in the states and are not looking to sell or get rid of our respective businesses. Both of them are jobs in which we almost exclusively work from home and we can just as easily do that from the CZ as we do from the states. However, what we don't want is a situation where we are being double taxed on the income we generate. Is there a way we can do this where we don't get taxed twice on the same income? Are there any other reasons why this may be a bad idea? I welcome any and all thoughts you may have.