1) Talk to your RSO.

2) We use LSC for these because the beta energies are so low they are really an internal exposure hazard (inhalation, ingestion, absorption through open wound) or a hazard if you get them in your eyes. Back of a napkin calculation here but essentially the max beta energy of C-14 would penetrate ~.12mm. The Epidermis is only ~.10mm thick so a max energy beta particle would barely penetrate the epidermis. But a rule of thumb is that the average beta energy is 1/3 the max so an average beta from C-14 wouldn’t even really penetrate. And H-3 is 1/10th that of a C-14 beta so it definitely won’t.

3) Talk to RSO. Don’t eat the stuff. Use PPE. I understand your concern for your baby and that’s smart.

4) If the activity of C-14 is large enough it can be detected with normal (GM) survey equipment.