Yes, both Jira and Freshdesk offer a Free Trial.
Jira is designed for Large Enterprises, Medium Business and Small Business.
Freshdesk is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Pricing for Jira Starts at $6.25/User/Month when Billed Yearly whereas for Freshdesk Starts at $15/User/Month when Billed Yearly.
Some top alternatives to Jira includes Trello, Confluence, Asana, SwiftKanban, Kanbanize, ClickUp, Height, Kanban Tool, Kanban Zone and KanbanFlow.
Some top alternatives to Freshdesk includes Zendesk Support, Zoho Desk, Tidio Helpdesk, SeamlessDesk, LiveAgent, HelpDesk, SysAid, HubSpot Service Hub, Salesforce Service Cloud, CRMdesk, Helpspot, Sitehelpdesk and Trakdesk.