(Disclaimer: I haven't bought any of them, so can't say anything about the quality.)
UFactory Lite $3900 https://www.ufactory.cc/product-page/ufactory-lite-6-kit
Dorna 2 $4200 https://dorna.ai/product/dorna-2/
ReBeL cobot €5000 https://www.igus.si/product/20962?artNr=REBEL-6DOF-01
Interbotix https://www.trossenrobotics.com/robotic-arms/ros-research-ar...
DOBOT $2700 https://www.trossenrobotics.com/dobot-mg400-industrial-deskt...
Wlkata Mirobot $2000 https://www.wlkata.com/products/professional-kit-of-wlkata-m...
Buy an Arduino Mega or something. That way you'll have way more pins that you'll need, and shouldn't hit up against the memory limits. Arduinos have a huge community, and the free IDE has all libraries and everything you need. I bought one and an MP3 shield from AdaFruit last year and successfully made a GNK droid. complete with flashing lights and multiple modes of tranquil gonks.
Can you recommend the names of any off-the-shelf robotic arms or tools that can be modified or hacked?
Any good standard starting points for controller software?