Lake Louise and Lake Moraine are two very well known lakes in Banff National park. Lake Moraine used to be featured on the back side of the Canadian 20 dollar bill. Except for the lake shore trails, the Moraine Lake trails require people to hike in a group of 4 people or more on account of grizzly activity. If you are on your own, this is not really a concern, at least in busy months as the area is crowded with loads of tourists.
One hike I particularly enjoyed was the Saddleback trail; starting from the Chateau Lake Louise Hotel, this trail takes you up Fairview mountain; the hike can be made in half a day and climbs steadily up the the rocky summit and offers an incredible view of Lake Louise and Mount Victoria. I walked this trail in September 2015 after the smoke from a Washington state forest fire cleared up. It is a very rewarding hike for the effort.
The Plains of the Six Glaciers hike is also very nice but much less strenuous than the Saddleback trail but offers very rewarding views overlooking glaciers. There is also a tea house along the way. Michelle and I went along this trail in 2016.