Haberdashery and Vilene

F220 is a good standard vilene - you can feel it supporting your fabric. H250 is quite firm, H200 is slighlty more supple. H180 and G405 are both very soft.
The G700 is an iron on woven cotton which works with your fabric.

Large 500m spools of the popular Gutermann Sew All threads. 100% polyester, and 300m spools of Coton 30.