Are you in Calgary now or visiting soon? How long are you here for? Do you have a bike with you?
(Based in Calgary and have been for several years)
The website you want to visit is Bike Pirate for all trail conditions and potential routes. It’s a pretty comprehensive list.
I’ve not been out on mountain bike yet but I think Horseshoe in Canmore is a good bet; as is Lake MW before it closes to bikes for bear season.
West Bragg area once it clears up is the closest decent riding; followed closely by Sulphur and Moose Mountain for more technical stuff but as per Jonny7 it’s not been a good start.
You could always go skiing? (Which is what I’m still doing…)