Thank you so much for your question. I answer this question a lot, both for women with breast augmentation, as well as for women seeking breast reduction. To understand the answer, I started making bras myself. Below I will share what I have learned with you.The support of the bra mainly comes from the band itself. Less of the support comes from the cup, and almost none of the support should come from the strap. While you are healing from a surgery, you will want to avoid any metal or plastic wires, as this will poke or rub at the incisions. After healing, you can choose any bra that feels comfortable to you.Things that will make a bra BAND MORE supportive are the following:1. A full band (meaning that the fabric goes across the chest under the breast). If you have a little tab of fabric between the cups, then this isn't a fully banded bra.2. Non-stretch material in the center of the band in the front. I know, we all think stretchy is the way to find comfort, but if you aren't being supported, then you will not be comfortable. If you are checking out two companies with similar styles, less stretch is better.3. A band that goes lower onto the rib cage. You may have seen bras that look like mini-corsets. These bras give greater support.4. A less elastic back band. The more stretch you have at the back of the bra, the less supportive it will be. Most back bands are made with power net. You want it to stretch something between 20% and 40% to get good support. If you can stretch the back and increase the length by more than this, you are losing support.5. Lateral support bars. This is seen at the side seam, and is a vertical bar of either plastic or spiral metal boning that provides an additional lateral "boost".Things that will make a bra CUP MORE supportive are the following:1. Non-stretch material, especially along the lateral aspect of the cup.2. More fabric to cover the breast.3. A great fit - gaping of the fabric is not good. If you do not have perfect symmetry between your breasts - and almost no woman does, you can create a "fix" by finding small padding to fill the smaller cup. Joann Fabrics offers a nice line of bra cups in various sizes and shapes.I really hope that this was helpful for you. Best wishes in getting that good night's sleep.