Saving a record and redirecting to another table

There is a setting in the advanced properties for tables called this this  

Auto save when redirected away from the page.

With that setting enabled typically when you navigate away from a record it will auto save the record. So you just need to put in a URL for where you want to go. 

Where is it that you want to go?

For example if you want to go to the Table Home page for your table called Customers it would look like this

URLRoot() & "db/" & [_DBID_CUSTOMERS] & "?a=td"

The table alias can be found in the advanced settings for the table.