Should I move my Quickbooks checking to my new advanced account

You do not need to reconnect your checking account. After you upgrade from Solopreneur to another QuickBooks Online plan, new bank transactions will automatically import into the Bank transactions page. Your access to QuickBooks Checking remains the same. 

Duplicate transactions will appear after the upgrade. For full details on what changes, see: Learn what changes when you upgrade from QuickBooks Solopreneur to other QuickBooks Online editions.  

Once the new transactions import, categorize them to keep your books organized.

Let us know if you have further questions or concerns.