See I love Little Lamb wraps! I was really glad I bought some ready for my little man to arrive. However I do love the Motherease wraps too and they do fit over more nappies - I mainly used the Little Lamb wraps over Little Lamb nappies and Totsbots Bamboozles.
We never had a problem with anything being too big, right from birth we used size 1 Little Lambs and Totsbots Bamboozles, and small Motherease Sandys. He was 9lb at birth though
I had some Teenyfits too but TBH if I'd known he was going to be so chunky I would have gone straight for Easyfits.
I know for smaller babies though people prefer things like Teenyfits, XS Sandys, XS OWW etc.
In answer to the original question, I started off with about 6 PUL wraps (2 Little Lamb, 2 Motherease Rikki and 2 Motherease Airflow) and a couple of fleece wraps/soakers. I hardly ever use PUL now though, I prefer wool and occasionally fleece.