Lifting lawn manually

I'm in the process of lifting the old turf on the small side of my front garden (22 x 18'), the current 'lawn' dips up and down and is terribly uneven.
I'm using a pointed shovel to lift the old turf (80% moss 10% weeds) and it's coming out but is serious hard graft, I've ordered a lawn iron or spade I'm hoping this will come in handy when I do the larger side of the front garden, how is it cut into the turf if you don't mind my asking? The shovel obviously has mouldings on to kick into the earth - I've noticed the lawn iron has no such thing so how is it used?
Anyway, I've bought a shed load of top soil in bags from the local diy centre and bought some (100l) miracle grow compost to mix in with it, I'm going to be going for reseeding rather than turf as its fairly shady out there, not to mention I'm on a budget I've also got some lawn fertiliser to help. So any top tips will be much appreciated x

 

The link for the lawn / turf iron it won't let me link for some reason, but Google turfing iron and its a slightly odd angled petal shaped spade
Also I don't mean to sound like a complete novice (but I'm going to anyway lol), why hold off on the fertiliser? It says on the tub its for pre seeding / laying turf, I haven't put any down yet btw

 

That's exactly the one I guess as you say it'll take some practice when it gets here

 

Well it arrived this morning and looking at it in real life and checking its weight it should be straightforward, I just need it to stop raining now so I can carry on