Wear a lab apron. Handle small quantities. Clean up any spills immediately. This is the most serious of the hazards posed by the dilute solution of methylamine. The methylamine is being handled as a 0.1 M solution in water.
Allergic reactions can occur with exposure to even small quantities of the allergen.
Sensitization, which can occur through either acute or chronic exposure, will increase the strength of the allergic response. The eyes are particularly sensitive to irritation, even soap can cause a strong stinging sensation when it gets in the eyes. Methylamine is also readily absorbed through the skin. Keep away from ignition sources. This hazard is essentially nonexistent for the dilute solution.