Yes, both Quire and Asana offer a Free Trial.
Quire is designed for Individuals, Large Enterprises, Medium Business and Small Business.
Asana is designed for Large Enterprises, Medium Business and Small Business.
Pricing for Quire Starts at $8/member/month when yearly whereas for Asana Starts at $6.92/user/month when monthly.
Some top alternatives to Quire includes Quickbase , Smartsheet, ClickUp, Zoho Projects, Trello, Wrike, TeamGantt, Asana, Teamwork, ProjectManager.com, Kanboard, Kanbanize, Quick Base, Zenkit Projects and Kanban Tool.
Some top alternatives to Asana includes Quickbase , Smartsheet, ClickUp, Zoho Projects, Jira, Basecamp, Trello, Wrike, ProofHub, monday.com, Teamwork, ProjectManager.com, Microsoft Project, Quick Base and Height.