Luckily I do have a circular saw, but didn't need it for the other room, as it was so small. I might get a jigsaw, as I seem to have lost two of them!? (no doubt in the moves)
I'm going for the coving, scotia just like you did, and like I did on the other room. No point in ****ing about with removing the skirting as I swear it would pull half the wall down at the same time.
I know, right?! It's the same vinyl throughout the hall, kitchen, lounge and it's VILE! It always looks dirty, as that's just the awesome design of it and now it's lifting in places, it's even more awesome.
I'm tempted to get some more vinyl for the kitchen too. I would do laminate throughout, but laying it in the kitchen would be a nightmare around the bottoms of all the units and for ease, just a fresh bit of vinyl would make a hell of a difference. I'll see what deals they have in the hardware store.