PC, there are loads of different types of reusable nappy and it might take a bit of trial and error before you hit on the one that is right for you. One thing I would suggest, though is to AVOID spending a lot of money on birth to potty systems, such as Cotton Bottoms, unless you are sure that you have the right nappy.
types of nappy:
flat terries- cheapest, easiest to dry, lots of other uses, can be made to fit any shape of baby!
prefolds- cheap and easy to dry, have to sit inside a waterproof wrap
shaped nappies- lots of different types- can be made of cotton terry, hemp, other materials, can be fastened with pins/ nippas/ velcro/ poppers; may be lined with fleece or unlined
the above nappies will all need a waterproof cover and they come in all different shapes sizes and colours too.
Pocket nappies (sometimes called All-in-Ones, though they mostly aren't!)- essentially a waterproof outer layer, with a fleece (or similar) inner layer. You stuff the gap between them with padding of your choice (a terry or prefold, usually). Tend to cost more, but can be very funky, and as easy to put on as a disposable.
I suggest you have a look at The Nappy Lady , she has an online questionnaire and will give you good suggestions based on what you need.
FWIW, we used Totsbots , and found them excellent for absorbency and containment! The aplix variety would be easy to put on a wriggler, and their wraps are good too.
Good luck, and have fun trying them all out- it can be addictive!