Yes, both Pythia and LiveAgent offer a Free Trial.
Pythia is designed for Large Enterprises, Medium Business and Small Business.
LiveAgent is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Pricing for Pythia Starts at $30/User/Month whereas for LiveAgent Starts at $15/User/Month.
Some top alternatives to Pythia includes Zendesk Support, Zoho Desk, Tidio Helpdesk, Freshservice, Freshdesk, LiveAgent, HelpDesk, SysAid, Jitbit Helpdesk, Help Scout, Snappy, HelpdeskEddy, LabiDesk, Support.cc by 500apps, BoldDesk and Aptedge.
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.