Yes, both LiveAgent and Teamwork Desk offer a Free Trial.
LiveAgent is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
Teamwork Desk is designed for Large Enterprises, Medium Business and Small Business.
Pricing for LiveAgent Starts at $15/User/Month whereas for Teamwork Desk Starts at $8.50/User/Month when Billed Yearly.
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 Teamwork Desk includes Zendesk Support, Zoho Desk, Tidio Helpdesk, Freshservice, Freshdesk, Deskero, HelpDesk, SysAid, Jitbit Helpdesk, Desky, eStreamDesk, Helpspot, ReadyDesk, AzureDesk, HESK and Help Desk Premier.