Transfer Websites Between Siteground Hostings

I will be acquiring new Siteground Hosting in the BFCM sales and need my websites transferred from my previous Siteground hosting to the new hosting. Normally Siteground would help with these transfers but apparently they are reluctant when switching between plans during Black Friday sales. (I can’t afford their full hosting and don’t have time to research others). There will be seven websites in total as well as emails on 2 of the accounts. I hope to do this later this week.