I am probably forgetting some, but here are the desires or considerations:

• Windows software with
• App integration (preferably both Android and Apple)
• Team members based in several different locations (most in US) but travelling periodically
• Needs to have ability to assign tasks and check progress of these
• Covering many discrete tasks rather than a single project with parts
• Different groups/teams of people on different tasks
• Preferably some integration with Outlook
• Alarms, reminders, calendars, etc. etc. etc.
• Prioritizing options (colors or some such)
• Intuitive
• Can print calendars of upcoming tasks with filters (Joe can print a calendar which shows only his tasks, for example)
• Reputable company, good security, etc.
• Not a data hog when roaming, especially outside country

I understand that there probably won't be the product that covers all of the above, at least not without spending a boatload of dough, but the FT gang may surprise me.

Thanks for comments.
TRRed