In terms of how much time you spend in each place, I might recommend this order: Santa Fe, Taos, Albuquerque. You could do your first night and last night in Albuquerque. That would work well with your flights and give you some time there, but then most of your time could be in the more picturesque Santa Fe and Taos.
Keep in mind that these cities are at elevations of 5-7000 feet and the air is very dry. You should be proactive about hydration to deal with both the elevation and low humidity. Be sure to bring some lip balm as chapped lips are very common. If you forget your balm, a great place to get some in Albuquerque is the Los Poblanos lavender farm. They have lots of amazing skin care products made with lavender grown on site. It’s also an amazing inn. If it’s within your budget, it would be a great place to stay.