I've worn lined bifocals for decades. Key part is to get the line for the reader part correct. If it is not, you will get the disorienting issues. I did try the no-line bifocals, but found those harder to adjust to. My brain figured out pretty quickly where to look with the lined ones, whereas with the no line ones I always seemed to be searching for that sweet spot. I can't even see the line anymore - my brain has learned to filter it out, while still knowing it is there and having me look where I need to.
I tried trifocal progressives a few years ago when it was decided I also needed mid-range computer glasses. That was a hard no. The corrected vision is in an hourglass shape, (even though you can't see that by just looking at the lenses). If you have wide peripheral vision like I do, it means you see some things clearly, and other things blurry, all at the same time. Also, you have to turn your head constantly to look directly at what you want to see - no side glance if you want it in focus. They kept saying my brain would adjust, but it wasn't worth the headaches and constant tripping on stairs in the hope that would happen. Mr. SP also told me I looked like a little bird, bobbing my head around to try and focus on things. I don't have much vanity, but I don't want to look like a damn bird.
So now I have bifocals, and dedicated computer glasses. That works fine for me.
Also - you can get your primary glasses to be photo sensitive, so you won't need sunglasses also. Go outside, you have sunglasses within a few seconds. Come back in, and your glasses are clear again within a minute. I wouldn't be without those now.