Back in ‘07 we did a family road trip through the Rockies, which was a big loop of Edmonton > Jasper > Mt Robson > Kamloops > Jasper > Calgary and back with a bunch of detours in about three weeks. My time in Calgary was spent mostly studying, but I did do a bunch of smaller easy hikes because I’m not at all experienced as a hiker. I remember Ptarmigan Cirque off the top of my head as a nice one. Really, just browse AllTrails and pick a few that look good. The Alberta / BC parks websites are also filled with information. My personal recommendations would be to try and get a glacier tour - I didn’t and I still kinda regret that. Lake Louise is a beautiful tourist trap, but worth it just so you can say you’ve been there when it inevirably gets posted on /r/earthporn again. I remember Bow Lake as a glass-like pristine beauty - all of the 93 from Jasper to Banff is gorgeous, by the way. Also check out Wells Gray national park and the parks south of Kananaskis (e.g. Peter Lougheed), which are just as beautiful as the bigger parks. Most sights aren’t easily accessible by public transport, IIRC. The more popular villages and resorts are, but if you go hiking a lot I don’t think you’ll regret the flexibility and storage a car has to offer. I went with a regular rental company and have no qualms against them (besides their infuriatingly expensive pricing for younger people).
I was 100% going to recommend this, Creativity. If you're driving between Jasper and Banff, I'm presuming you'll be going via the Icefields Parkway? If so, definitely get a tour of the Athabasca Glacier. You can either do a half day or full day, the latter taking you right up and onto the icefalls whereas the former stops further down. I did the shorter one and that was amazing in itself. I would definite do the full trip if I went again, but of course it depends on your budget. Also, in regards to Lake Louise, there's a small path you can take off from the main tourist hub which will lead you to a more secluded area; we found a spot with no-one in sight. And on the subjects of lakes, there's a trail that starts at the busy Moraine Lake that goes to the Consolation Lakes. Another beautiful and secluded spot. It's not that long a walk, but it is a restricted route due to bear activity. So you have to be in a group of at least four and bear spray is recommended. Another hike you might look into is to Ink Pots. It's about a 11km round trip. It starts at the Johnston Canyon waterfalls trail which is really busy but once you get onto the path to the Ink Pots there's hardly anyone. The hike itself is nothing special, but the destination is well worth it in my opinion.My personal recommendations would be to try and get a glacier tour - I didn’t and I still kinda regret that.
I will definitely look into Athabasca Glacier Tour. It's a bit expensive but depending on disponibilities and how much I'm going to spend in the first few days I will be able to see if I can afford it. Thanks for the tips!