Did the move to new hosting involve a DNS change? ... ie, oldmoodle.org is now newmoodle.org?
IF so, you will need to edit the config.php file and update/change the site URL contained in that file.
Login.
Then run search and replace ... moodle uses config.php file variable for site to populate all internal to moodle links.
If not above, you are going to have to provide more info. Can't make suggestions about how to fix the 'thingy' if no knows what the 'thingy' is!
'SoS', Ken