Yes, both LiveAgent and Zendesk Talk offer a Free Trial.
LiveAgent is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Zendesk Talk is designed for Individuals, Large Enterprises, Medium Business and Small Business.
Pricing for LiveAgent Starts at $15/User/Month whereas for Zendesk Talk Starts at $9/User/Month.
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 Zendesk Talk includes Nextiva, TalkDesk, uContact, HoduCC, Call Center Studio, TelebuHub, Zendesk Support, VoxDesk, Zendesk Chat and Freshdesk Contact Center (Formerly Freshcaller).