They're in the same area, you have to walk past the lake to get to the glacier. Like any glacier hike, you can go as close as you want to it and turn around as feel fit. We did about 400m vertical and 8km round trip from the parking lot. The lake is maybe 100m above the parking lot and there are young children there. The hike up to the glacier is less crowded.
This photo looks back from the Glacier but gives you a taste of the hike. We don't like using hands when hiking so it's not difficult.
Thanks for the info. I will add these to my list of hikes!