Something new world, terrestrial, docile, and slow moving. My number 1 suggestion is a chaco golden knee (G. pulchripes) because they fit all those criteria, are inexpensive, hardy, and eat well. I and a lot of others do not recommend handling your T, it can be dangerous for the spider if it falls. They make better lookin' at pets.
Edit: I also recommend getting it as a smaller sling and raising it. Knowing it's too small to bite you and getting used to it may help a lot. With my first I started out...not scared but weary? I guess, of spiders. Petting her little butt with a paint brush and seeing her not react, and then my finger once I felt comfortable, really got me totally comfortable with them. I was always fascinated by them and caught lots as a kid, just touching them freaked me out. Now I *can* handle, I just don't for their safety.
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