I enjoy volunteering at our local animal shelter. we take care of strays, sick and abandoned dog and cats.
That would be hard for me, I would love helping them but hate seeing them leave. Do you neuter them?
That is one of the processes done here. Another familiar term for 'animal shelter' is also pound. 
Our community does not have a shelter or animal control so I try to trap the cats and take them to the University for their fix and release program.
That is interesting. Some shelters also take in sick tropical animals.
That is something I didn't know, I wonder what kinds they get in , they must have to learn so much about the different species.
Yes, I imagine their capacity is limited as to the jurisdiction regulated within the state. 
Right, I feel so badly about animals being put down. I wish people would be more responsible owners.
Animal shelter
An animal shelter or pound is a place where stray, lost, abandoned or surrendered animals, mostly dogs and cats, and sometimes sick or wounded wildlife are kept and rehabilitated. While no-kill shelters exist, it is sometimes policy to euthanize sick animals, and any animal that is not claimed quickly enough by a previous or new owner. In Europe, of 30 countries included in a survey, all but four (Czech Republic, Germany, Greece, and Italy) permitted the killing of healthy stray
enough of me. My love is just the same as it always was. Oh, how I did hate to leave you last Sunday evening. But I did not think this would happen. I thought we could take in the money and not have any trouble with it, but a man's fondest hopes are sometimes broken with trouble. We would not have been arrested but one of our horses gave out and we could not leave him [the rider] alone. I do not know what to write. Do the