Target has several types of nursing bras all in the $15-25 range. I found the lined ones with underwire to be comfortable until I was over a C-cup, at which point they put in metal bracers in the chest strap under the armpit. These lasted me 2 years with #1 and would have lasted longer if I hadn't grown several sizes with #2.
https://www.target.com/p/nursing-fu...966009#prodSlot=medium_1_12&term=nursing+bras
They also sell a surprisingly supportive underwire-free bra (the extra support comes from more padding in the underside of the bra cup). I find the straps too thin for DD cups-- they leave deep red welts on my shoulders. The clasp itself is also poor for all but small or very perky breasts. The clasp has a wide hole for which they made a very thin piece of fabric, so the fabric slides to one side and makes the clasp tilt funny. The thin piece of fabric is also the most-used piece of the garment, so after very light use for a short period of time (I used it several weeks for trips to the park in the morning, but #2 sleeps the mornings away, so I rarely nursed in it, maybe 5 times total) the little strap that goes through the cup-side of the nursing clasp is shredded and about to just fall apart.
https://www.target.com/p/nursing-mi...5647905#prodSlot=medium_1_7&term=nursing+bras
And they sell an excellent nursing sports bra. The bra straps are wide and comfortable and don't dig. A correctly-sized bra fits well and supportively enough to run without bounce. They fit a bit tight if you're not used to good sports bras, but I've always loved my compression bras for running. They don't fit tightly enough to actually compress and I wouldn't think these would compromise milk supply. The downside that might not even bother you is that the cups are veeery full-coverage. Enough that they peek over a Target nursing tank at the sides near the straps, which bothers me because my every-day wear for the first 15ish months after baby is nursing tank+camisole. As you can also see in the link, this bra doesn't have independent cups, so when you're nursing, the cups don't rotate out of the way as conveniently as independent cups do, but can be sufficiently moved for everyone's comfort.
https://www.target.com/p/nursing-sp...4359523#prodSlot=medium_1_8&term=nursing+bras
