This should take care of the lathe tools: https://www.harborfreight.com/wood-lathe-turning-tool-kit-8-pc-62674.html
This is where I found my ball burrs: https://www.amazon.com/gp/product/B006KVG8FO/ref=oh_aui_detailpage_o03_s02?ie=UTF8&psc=1
and https://www.amazon.com/gp/product/B006KVFBJ8/ref=oh_aui_detailpage_o03_s02?ie=UTF8&psc=1
I paid $36 and $23 at the time, they are now $31 and $12. Looks like I'm ordering a spare set!