Yes, both Jira Service Desk and Trello offer a Free Trial.
Jira Service Desk is designed for Large Enterprises, Medium Business and Small Business.
Trello is designed for Individuals, Freelancers, Large Enterprises, Medium Business and Small Business.
Pricing for Jira Service Desk Starts at $10One-Time Payment whereas for Trello Starts at $5/User/Month when Billed Yearly.
Some top alternatives to Jira Service Desk includes Freshservice, ManageEngine ServiceDesk Plus, SolarWinds Service Desk, Mint Service Desk, Symantec ServiceDesk, Freshdesk, HelpDesk, ReadyDesk, Milldesk, HESK, Scopedesk and GLPI.
Some top alternatives to Trello includes Quickbase , Smartsheet, ClickUp, Zoho Projects, Freshbooks, Jira, Basecamp, Wrike, monday.com, Asana, Teamwork, ProjectManager.com, Microsoft Project, Worksuite, Trackboard, Quick Base, Todoist, Resource Guru and Height.