The right lining depends on your fashion fabric. Muslin is not lightweight but could still be a good lining for some materials. I lined one of these with muslin for a poplin dress, mainly because that’s what I had on hand, but it’s fine. It can also work for quilting cotton. However, a cotton lawn would be be a better lining because it’s lighter weight. The muslin lined dress already feels to heavy for the early sticky weather we’re having. Cotton voile is another good choice for lining summer dresses, although some voile can be a little gauzy and therefore sticky. Batiste is another good choice and lightweight. Sometimes, the distinction between these three is vague depending on manufacturer. Most of the time, you want to go a little lighter weight than your fashion fabric.
If you need a slippery lining, rayon is breathable and easy to care for. Bemberg can be a pain to work but will glide over tights. Rayon batiste or challis can work too, is slippery enough but has a little more grip than Bemberg. For a beginner, I might stick with cotton.