I think if you make sure the new account have full access to the Data and Log path, then it should be okay.
You may also need to grant Launch and Activation permission to "Microsoft SQL Server Integration Services <version>" in "Component Services" of Control Panel. Check event viewer and see if you need to do that after change.
Of course, if you switch account of service using that "SQL Server Configuration Manager" tool that's installed with SQL server, then it should have made the relevant changes for you.