Looking for the right path!

I'm still learning the proper lingo in all of this but when I take my stock heads to the machine shop, what exactly am I wanting done in order to "open valves to 2.02" and "bowl work"?

Ask them to rebuild the heads and use 2.02/1.60 11/32 stem +.100 stainless Chevy valves. On the heads...you want clean and mag, new guides, hardened exhaust seats, multi angle valve job, surface cut, guides cut for dbl springs. Ask to have them cc'd and equalized head to head if needed.
Bowl work , porting to blend the larger valve seat to the rest of the port, in lamens, it increases the air flow=make more power.