What is sheimos?

What is considered sheimos? What can be put in the recycle or garbage? What requires geniza and how should that be done?

Great question. Lots of details. Is there a specific item or items you have a question about?

Kid’s school handouts. Computer printed, some with just divrei Torah, some with pesukim but with the Shem hashem written as ה׳ or אלוקים, others with the Shem written in full, others with full psukim that just happen not to contain a shem. Some are loose pieces of paper stapled together, some are bound in one of those things with three metal prongs that you fold over

In all the above examples- they are all indeed shaimos.

Can they be put in recycle or garbage?

Shaimos cannot be placed in the garbage. They need to be handled respectfully and stored or buried appropriately.

Is this catalogue sheimos?

Absolutely