Unfortunately our friends at Network Solutions do not make it easy to export domains into any format that can be used to import the domains into Total Uptime. This is probably due to the fact that they are first and foremost a domain registrar, not a DNS company. DNS is a somewhat secondary service, confirmed by the fact that it is free.
The only way we’ve come up with to migrate your domain from Network Solutions is to open up two browsers and copy/paste from one to the other manually. This is the only sure way to confirm that no records go missing. Total Uptime does offer no-cost import service, so if you have more than a handful of domains and the process seems daunting, just reach out to us. We’ll do it for you happily.