Just remember, you want those things 🙂
Yeah, get a bra. They make them for little girls who aren't A-cups yet, or you can get an A-cup and pad it, or just wear a sports bra (they start out fairly flat and stretch).
Your backpack straps are going to have to sit in a different spot, angled sharply off to the side into your armpit rather than lying flat on your chest. There are backpacks with straps designed for this, but I tend to find them even more uncomfortable.
For shopping, take a backpack or messenger bag or one of those reusable shopping bags that can hang off your elbow. Oh, and go laugh in the faces of those evolutionary psychology jerks who say that female-bodied people cradle inanimate objects against our bodies because we want to "nurture" them.
If you're going to stay active in the ways you normally are (climbing fences, etc) you'll get used to your hands bleeding - hand scars, cuts, and scrapes are one of the markers of a tomboy of any age. There's not much you can do about the softness unless you seriously work with your hands as a mechanic or something. And then once you stop they go right back to baby soft within a couple of months.
As far as the strength, you can maintain some strength but you have to work three times as hard, so get some weights if you want to keep climbing things. Don't worry, the estrogen won't let you get big (sigh) unless you make your life revolve around lifting.