The best solution is not always the cheapest. The cheapest solution is to install Elasticsearch or Solr on your WordPress server.
But when time and skill are lacking, finding a good hosting company is the solution.
No need to be a technical wizard.
Just select your hosting company inside the plugin, and everything will be done for you: index creation and configuration.
Find a hosting service among the many already tested. This is a guarantee that your WordPress will connect seamlessly to your chosen hosting company.
You can of course try your preferred company, the plugin uses the standard Elasticsearch and Solr REST API after all.
Manage your Amazon AWS indexes.
Manage your Alibaba Cloud indexes.
Manage your Elastic indexes.
Manage your Cloudways indexes.
Manage your Bonsai indexes.
Manage your ElasticPress indexes.
Manage your Compose indexes.
Manage your ObjectRocket indexes.
Manage your Qbox indexes.
Manage your Aiven indexes.
Manage your OpenSolr indexes.
Manage your SearchStax indexes.
Manage your SolrFarm indexes.
Connect to your Algolia admin dashboard to control your search.
Set your own languages, synonyms, stop words, typos.