Yes, both TeamViewer and SolarWinds Service Desk offer a Free Trial.
TeamViewer is designed for Freelancers, Large Enterprises, Medium Business and Small Business.
SolarWinds Service Desk is designed for Large Enterprises, Medium Business and Small Business.
Pricing for TeamViewer Starts at $9/month when yearly whereas for SolarWinds Service Desk Starts at $19/User/Month.
Some top alternatives to TeamViewer includes NinjaOne (NinjaRMM), GoToMyPC, RemotePC, VNC Connect, RemoteToPC, AnyDesk, Splashtop Remote Support, LogMeIn Pro, Splashtop Business Access, FixMe.IT, LogMeIn Rescue and GoTo Resolve.
Some top alternatives to SolarWinds Service Desk includes Freshservice, ManageEngine ServiceDesk Plus, Ivanti Service Manager, Jira Service Desk, Symantec ServiceDesk, InvGate Service Desk, IBM Control Desk, HelpDesk, SysAid, Sitehelpdesk, HESK and TechExcel ServiceWise.