IME (four children in co-sleepers) the ultimate answer is to use a 3 sided full sized cot from birth.
I would buy a standard drop-side cotbed. Drop-side cot if not a cotbed, but the cotbeds are bigger and also more longevity since you'll get 3 or 4 years use out of it.
From birth remove the dropside off the cot completely (easily done with an allen key) and wedge it up to your bed. Initially from newborn this gives you a really big space to cuddle into from your bed. With baby in a sleeping bag and at eye level with you, you just need roll over to deal with baby. You can even cuddle right into the cot (lots of space in a full sized cotbed) and breastfeed lying down without moving baby at all. Or scoot baby over into your bed to feed, then scoot baby back when done - all without sitting up.
Once baby is not newborn and might start rolling (4 months ish) you can introduced a rolled-up towel in the boundary between your bed and cot. This introduces the idea of separate space, while still being easy for you to lean over to deal with baby.
This is likely to be the approximate age a child grows out of a crib.
Once baby starts actively rolling (5-6 months ish) then put the side of the cot back on, but keep it dropped down. This produces a barrier of about 10-15 cm (depends on the height of your mattress), but also means you can easily lean an arm over to reinsert dummy shush or pat baby back to sleep if they wake. I would do with without even opening my eyes, certainly without even sitting up.
Once baby is starting to pull up onto all-fours and pull up to a sitting position (7-8 months ish), it's then time to lower the cot mattress, but I keep the crop side lowered so make it easier for me to down to floor level to settle baby - all with me still lying in bed.
Once pulling to standing, that's when I revert to 'proper cot' with all four sides on, dropside raised and mattress lowered. That is when you can then start introducing some space between your bed and cot - so baby learns to sleep without you close. Just a few cm away at first. Then move the cot further and further away until the move is made to baby in the cot in own room. For us, that was generally about 9 months old, once sleeping through consistently.
So, all my rambling aside...
I love the idea behind the crib you link to. It's not a new idea (I've been parenting for over 11 years and have always used a co-sleeper). But IMO it is not quite the product needed to be prefect as a co-sleeper bedside sleeping option.