Here's a list of ideas for your zero waste / sustainable journey. I hope this helps! As a preface:
The to-go cups provided at most cafes are of mixed material and are therefore not recyclable. The cups are made of paper lined with plastic to make it water resistant. This plastic lining is harmful for our health, especially as hot liquids come into contact with it. The lids are a soft plastic that is not commonly recyclable. Sadly, all these coffee cups belong in the landfill.
Disposable cutlery is often made of plastic and is not recyclable in most municipalities. Cutlery marked as "compostable" must be processed at an industrial compost facility. And even then, it may not be accepted. Some compost facilities only accept BPI certified compostables since they keep the compost up to a certain standard. Also, the sorting line moves very quickly and sometimes compostable foodware gets pulled from the compost if it looks plastic-y (as many compostable utensils do). If compostable / bioplastic foodware gets into the plastic recycling stream, it risks contaminating entire batches of plastic from resale. Buyers demand recycling to be under a given contamination rate. See China's National Sword.
Gift wrapping Ideas
Plastic snack bags, such as Ziplocs are typically only used once and then disposed in the landfill. Never throw them in the plastic recycling. If you have access to plastic film recycling, they can be disposed of there (but keep in mind, this is not a sustainable system to support wholeheartedly).
Single-use water bottles are made of plastic.