Install mosquito nets in your windows and/or doors. This can be done very low-tech of course. (I.e. tape a net to your window.) But on the high-tech end, houses in Japan have nets in every window and most doors. Depending on the type of window, different models can be installed. Frames that open like a window, frames that open like a sliding door, etc. I like the models, which folds the net as you pull it to the side.
I think a sustainable solution may create a better balance in your garden, but balance doesn't mean no mosquitoes. You can reduce the breeding grounds for mosquitoes by making sure you have nothing where water collects. (In Brazil, this is even regulated by law as preventative measure against dengue.) If you collect rainwater, keep fish in that tank, too. But to not get stung in the house, you need to make sure mosquitoes just don't get inside.
Incense are another solution, but (1) they don't work as well and (2) I am not sure how healthy it would be to breathe incensed air all day long. There are also little diffusers, which you plug into the wall. They work extremely well, but I am not sure how healthy they are, as some (most?) models also emit ultrasonic waves. (Of course, if you weigh possible effects of ultrasonic waves against possible tropical disease, the plug diffuser may win.) These diffusers use about 5W, so turning them on (for 2hs, say) in a room with open doors and turning them off before you sleep with closed doors might be on the sustainable end.