how much lines would I need in total?
I have lines that stay at the dock and lines that stay with the boat.
Lines that stay at the dock depend upon where and how you dock. There are many ways to do this. No way I can count lines for your docking unless you can tell exactly how you'll tie up at your dock.
For a "complete" list of lines I carry on my boat, I count two bow lines, two stern lines and 4 springs - 8 lines in total. These I carry on the boat at a minimum. Really, I have several duplicates. As I used to sail where there were 9 meter tides, I tend to think along the line of potentially being in a high tidal shift area, so my springs I typically like to have twice the length of my boat at a minimum and longer is better. I like to carry two lines that are about 100 meters in length.
I find 1/2" to be a bit hard on the hands and prefer 5/8" but you may find that 1/2" is just fine. I also prefer to oversize lines as I never know when I'll be in some conditions that really make me wish for heavy lines...
A lot of what you want to have depends on where you are going to sail and how you are going to use your boat. In summary, the 8 lines to carry on your boat will give you the freedom to dock about anywhere you may be heading from you location in Canada. What you may wish to have at your dock, only you can answer. For permanente dock lines, I'd recommend going up in diamter to allow for some chafe...
dj
p.s. I also perfer three strand over braided (although I'll use either)