Wacoal! I worked for them years ago so I am biased, but I love their sports bras. They have a hook and adjustable straps like a regular bra. They are made to be worn as an undergarment. The support is the high side of moderate. If you are going to be jogging long distances you might want more hold, but for almost any other activity it’s great. The bra will last for years, Wacoal quality is extremely good. I like style 855170. When you wear it, it looks like it is on inside out. The smooth side of the construction is against your skin so there is les chance of rub or it sticking not you, but their fit is usually so good there is little is any slipping or sticking.
As a side note Wacoal is well known for great fit and hold for large breasted women, but they also have beautiful undergarments for smaller sizes and they manufacture DKNY and Donna Karan lingerie as well.