Yes, both Jira and OneDesk offer a Free Trial.
Jira is designed for Large Enterprises, Medium Business and Small Business.
OneDesk 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 OneDesk Starts at $12/user/month when yearly.
Some top alternatives to Jira includes Trello, Confluence, Asana, SwiftKanban, Kanbanize, ClickUp, Height, Kanban Tool, Kanban Zone and KanbanFlow.
Some top alternatives to OneDesk includes Smartsheet, Miro, Process Street, Wrike, Notion, Freshbooks, Jira, TeamGantt, Zoho Projects, Teamwork, ProjectManager.com, Backlog, Worksuite, Quick Base, ClickUp, Resource Guru, Jira Service Desk, HelpDesk, HESK, Height and Scopedesk.