Welcome!
I'm currently using ...
Zap-a-Gap for my superglue needs,
Plastruct General Purpose Plastic Weld for bare plastic joints,
30-min epoxy for a large part of assembly, especially joints that need careful alignment,
and Aleene's glues for clear parts, some photoetch parts, and mock-up assembly.
For putty, I really like Evercoat Glazing Putty.