Ok, its been about a week since I purchased some knitting needles. I've mastered the knit and purl stich, as well as long tail cast off, and simple binding. I've made large swatches (and partial scarves) using the garter, basketweave, ribbing and stockinette. I've used cotton and an alpaca/acrylic blend (rather chunky) with the above. I did find that I learned so much better on the cotton since I could clearly see the stiches (it was striped cotton to, which made that even easier). I've been solely using bamboo needles (size 7 and 15).
So, with no "projects" beckoning...what should be the next thing I try to learn? My eventual goal is to make a blanket made from 100% mohair (my mother raises angora goats and would like something substantial made from her animals).
What do you want to make? Do you want to make hats or sweaters or socks or lace or scarves? It sounds like you have learned many of the basics quickly. Just start trying things and see what happens
Learning to use dpn's (double pointed needles) for socks is a little tricky at first but not impossible and socks are a great project. If you can do all of the steps for socks you can knit just about anything! I started knitting socks fairly early on. The first pair I made were miles too big for me to wear but I learned so much from trying it. Now I make at least a dozen pair a year for my family and friends.
You could also try little swatches in different fibres. Mohair can be tricky to work with because you can't easily rip out mistakes. If I were you I would purchase a ball of mohair from a yarn ship to try working with it before using the yarn made from your mother's goats.