First check : fuel filter (or possibly filters). They do get clogged up, so can restrict the amount of fuel getting to the engine.

In addition, most fuel filters should have one-way valves on them - but you'll tend to find that the cheap ebay specials don't. If they don't have one-way valves, then fuel can drain back to the tank overnight, making starting a much longer process in the mornings. The slope the car is parked on can make this more (or less) likely to be a problem.

If that doesn't do it check for air leaks in the fuel line, if you park it facing downhill it may show up as a diesel leak.

Early days yet, but a new fuel filter housing may have fixed it, as it now starts on the first turn of the key. Time will tell.

Could possibly be the lift pump in the tank? As someone said previously if the fuel is running back and the lift pump isn't working it won't prime so well so will take a while to start. Could well be an air leak, quite common on the peugeot diesels with the pipes the way they are.

That's often the way. A couple of years back my power steering went heavy. "Oooh, that's a sign it needs a new power steering motor", "common fault on these Pugs" said the "experts".

One weekend I took off the wheel, wheel arch liner, disconnected the electrical connector, cleaned it with electrical contact cleaner, reattached and sealed it, and not a single problem since.