I guess I am just used to working with acids in the lab. They don't bother me at all. I use many more dangerous chemicals on a daily basis, some of the at home.
Many of the common household products you have under your sinks can be classed as dangerous chemicals. The classic one is Liquid plumber. This is a very concentrated base ( the opposite of acid) and can be very dangerous.
As far as disposal of you acid I would recommend two methods.
1. Many cities have a hazardous waste exchange or disposal site by the land fill or dump.
2. Muratic acid or hydrochloric acid is not really a problem if it is dilute. You stomach is full of fairly concentrated hydrochloric acid. Fill a 5 gallon pail with 4 gallons on water. Pour your left over acid into it. Take the bucket out back and dump it on the ground. Let the hose run water over it for 10 minutes. The 2 elements in hydrochloric acid (HCl) are hydrogen and chlorine. Disassociating them in water dilutes them to harmless levels. The chlorine will bond with just about any metal ( like common salt (NaCl)) and is harmless in the soil.
BAC