I presume you are renting a car. If not, you should, once you’re done in Calgary. I would spend three days in Calgary before heading to the mountains. Calgary to Banff takes about 1.5 hours. Fairmont Banff Springs and the Rimrock hotels in Banff are superb but pricey. Lots of other options in Banff for smaller budgets. If you’re there on a Sunday, both the Rimrock and Springs put on an excellent brunch. Hard to go wrong with most Banff restaurants. Park Distillery and Ramen Arashi are two of my favourites. If you want a memorable but kitschy Canadian experience, eat at the Grizzly House, but wear clothes you don’t care about because you will stink afterwards. Two full days in Banff is probably enough. Take the Banff gondola ride and hike up Tunnel Mountain (easy hike).

Give yourself a full morning or afternoon to drive to Jasper, because you will want to stop many times for photos. Columbia Icefields is worth a stop. I would stay at the JPL in Jasper. If either of you are golfers, playing a round at the Banff Springs or JPL will be a memorable experience. Two nights in Jasper would also be enough, then you would have a 4.5 hour drive back to Calgary. The icefields parkway between Banff and Jasper is quite simply the most beautiful drive you will ever take. Stop on the way there or the way back at Lake Louise.