I like the idea of DIY but haven't been quite brave enough to try much myself. As we lived in a flat I was reluctant to ,ess with anything that might affect people below us. I think in a house I would be much more bold.
In the flat I ripped out a brick fireplace and put in a new modern one, ripped out a fixed door (but got someone else to make good and hang the doors, changed lights and put up shelves, ran a few cables. All minor stuff.
My dad was really good at DIY. He built an upstairs extension (coming out from a sloped roof), knocked through walls, fitted central heating (pipes, boiler, radiators), rewiring, decorating, roofing, fixing cars, welding pretty much the whole lot really. He was an air conditioning engineer, so was used to doing things like that. I used to 'help out' but it was usually of the 'pass me that spanner/hold the hoover while I drill' type, so I can generally see and talk about what needs to be done but might not actually be able to do it myself.
First major problem I can see is that I won't be able to get the old lino/carpet out of the back door with everything in the way.
Are you chucking it out? Just cut it up first with a new stanley blade. Watch your fingers (and your legs too if you're kneeling down).