I have lived most of my life in Vancouver so I can add someting here:
1. I totally agree with Capilano Suspenson Bridge. Save your money and go to Lynn Caynon Park. Theres a small one there but just as good. Its off of Mountain Highway and at least you can go for a hike there. But south of Capilano is the fish hatchery. Its free and worth looking at alll the salmon going up the ladders.
2. In respect with Grouse Mountain. I agree that Grouse is a great place for pictures and to walk around. But that costs 30 dollars each. My suggestion is to drive to Cypres Bowl ( off of highway 1) and drive to the first vista point. Again its free and just as good as Grouse, but you need a car. Best time to go is sunset. The walking part, u can go all the way to the ski resort ( another 10 mins) and walk around there and pick some blueberries ( free food.....lol)
3. Bowen Island. Another good choice. But instead of driving the car onto the ferry, which isnt cheap, walk onto the ferry (9 dollars r/t i believe) and walk around town and then walk around crippen park/lake. I have done this many times.
4. Vancouver looking like a space age city is nonsense, nor does it look like a Brasilian city. I live in Brasil now and its farther from the truth, so dont be scared.....lol
5. I would also drive up to Whistler. Shannon Falls is on the way and is a great day trip.
6. Driving into the interior is also a great option. Harrison Hot Springs, Hope and even further is fantastic. No matter where u go is good. Go to the Okanogan, great lake district but will be HOT!
7. Seattle is ok after spending time in Vancouver. Theres no place like Vancouver!
8. Going to Vancouver Island is also a great choice. Butchard Gardens is a great place if youre female. Victoria is ok at best. Its nice but its for old people. driving up the coast to Nanaimo is fantastic. theres also a ferry terminal there back to West Van.
if you have any questions, especially about IN Vancouver, let me know.
have fun