Did a successful install of floating vinyl plank flooring as a first time DIYer. I'm not handy, but have reasonable design sense.
On flat cement, it's an absolute breeze. You don't even need a jigsaw unless you need to cut holes in single pieces for vents. Just utility blade > score > snap to segment and create corner pieces.
A couple takeaways:
a. Time to install has much more to do with layout than square footage. Big open rooms are easy. You spend most of your time at edges and corners.
b. Get the expensive, high-quality vinyl plank and it will be impossible to tell from real hardwood (except the vinyl will be waterproof and wears better). In addition to the wood patterning color, ours also has a realistic grain-patterned 3d wear layer (transparent and noticeable only at a very close eye level).
c. Don't forget that like most things, flooring is not an isolated reno project. Based on your pictures, you should repaint your walls first, at minimum.
Rip out baseboards, repaint, install ceiling crown, install floor, install new baseboard. A beautiful floor needs premium baseboard, nice looking walls, and good lighting to complement - at minimum.