Switching from Search API Database to Solr
You will need to switch search server for your search index. But I think your view can stay as configured now as it targets a index (which only will change server).

You will also need the module Search API Spellcheck. Then add the "Search: Spellcheck" field to the header of your view. This will output the message “Did you mean "something" in the header if a suggestion is returned by Solr.

You will find the setting for which server your index should use under your index.