A woman rider asked me recently about how do handle the weight of her bike as a new rider. Initially, she had questions about the Daytona Lady Stars, and whether they would help her get both feet down comfortably on a Ninja 250. When I do wear my Daytonas (but not all the time), they only allow me to have both balls of my feet on the ground. So most of the time I use one flat left.
"So with the boots, I'm able to put a foot down. How do you handle the weight of the bike? I meant like when you're parking or in situation where you need both feet to roll the bike?" - Mango
I'm assuming that you can get almost one flat left or a full flat left down. If this is the case, then you will always, always keep your right on the rear brake for stability, no matter what. As long as your right foot is on the brake, your bike won't go anywhere.
Continue to practice braking as perfectly Smooth as you can. Pretend you're entering a contest for the best braking technique and the grand prize is going to be a million dollars. The only way you're going to balance the motorcycle without dropping it is really finessing and perfecting your braking so you don't stop and release too soon or grab all at once.
As far as parking, get off the bike. There's nothing wrong with having to park the bike while walking next to it. In fact, if I never did this I wouldn't be riding my motorcycle today because I can't park unless the pavement is completely flat. If there's even a slight slope I always get off and park. Most of the time I find it faster and a lot easier to manage. When you do park, lean the tank on your hip and walk the bike backwards. I have a blog post here that shows what I mean with a few pictures.
Keep practicing, and try not to think about what others will think or say or do. It's all about You riding your motorcycle, not them.