Attachment parenting is a philosophy that drives decisions; it is not a set of practices. AP isn't all about constant contact, although I believe the continuum concept is? Anyway, it's more important that you're responsive to your child's needs and less important that you do certain practices. For example, my baby doesn't like to be held all the time. Sometimes he wants to be held, sometimes he like his rocker (we use the fiser price infant to toddler rocker), and sometimes he likes being on the floor. Sometimes he's happy to nurse while being held or being in the carrier and other times he wants to nurse while lying down with me. For most naps, I have him in his rocker. For showers, if he's asleep in his rocker, I might just put the rocker in the bathroom. Otherwise, I shower while my husband can hold him. That's mostly for his safety since we have a 2.5 year old!
As far as a pram goes, I have an umbrella stroller. As a result, I didn't put my older child into any form of stroller until she was about 5 months old (should have waited a little longer though as umbrella strollers aren't designed for babies who can't sit independently) and my 2.5 month old has never been in a stroller. I also don't use the car-seat outside of the car to carry my baby. However, if you're baby is happy in a stroller or pram or even prefers it to being carried, there's nothing wrong with it. The key is to be responsive to your child. It's easier to respond to a child that you are wearing or carrying than it is to a child in a stroller/pram. Also, many babies prefer to be closer to mom and carrying your baby allows that.
I do have my baby in bed with me. I have the mattress on the floor so that when he learns to roll, falling from the bed won't hurt him. The issue with bedrails is that they can become entrapment hazards. Headboards and bed frames and beds against walls can also be entrapment hazards. I always keep my arm between his head and the pillow. If he scoots up, the pillow can be a suffocation hazard. I use thin blankets (nothing is fluffy) and make sure his arms are above it so that it doesn't cover his face if he moves his arms. My daughter (2.5) is on the other side of me so that she can't roll on him, kick him, or hit him. The mattress is fairly firm (again, nothing is fluffy).
I have cooked with my body turned from the stove and at arms length while wearing a baby. I have also had my husband hold Leo while I cook. Sometimes my husband is the one cooking. And other times he's in the rocker. I didn't use the carrier a whole lot at home with my first because it seemed like every time I got her in, she peed or something. With my second, he needed the carrier quite a it in the early days, but as time has gone on, he can be quite happy in the rocker.