Yes, both LiveAgent and Jira Service Desk offer a Free Trial.
LiveAgent is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Jira Service Desk is designed for Large Enterprises, Medium Business and Small Business.
Pricing for LiveAgent Starts at $15/User/Month whereas for Jira Service Desk Starts at $10One-Time Payment.
Some top alternatives to LiveAgent includes Zendesk Support, Zoho Desk, Tidio Helpdesk, Freshservice, ManageEngine ServiceDesk Plus, Freshdesk, ClickDesk, HelpDesk, SysAid, Jitbit Helpdesk, Desky, Help Scout, LabiDesk, LiveChat, Zendesk Chat, LiveHelpNow and Little SaaS Communication.
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.