Hi,
I think what you’re looking for is to redirect your user to your home page after they log in – so they log in but then go to the home page.
WordPress supports this with a php redirect. So your login link needs to look like this:
https://www.yoursite.com/wp-login.php?redirect_to=/ (this will redirect to the index or home page of the site) you can set this to anything, for example if you had a page of content for newly logged in users use a link like this – https://www.yoursite.com/wp-login.php?redirect_to=/page_for_logged_in_users/
To get this into welcome emails use the very handy SB Welcome Email Editor plugin and replace the dynamic login url with the login url you want.
Hope this helps.
Simon