This is not an easy question to answer as we tend to see it all.
Feeding tubes should have a policy and they should cover their use in orientation, but honestly in 3 years of working med-surg I've had a feeding tube maybe half a dozen times. TPN/Lipids are much more common for our patient population.
The most common types of drainage tubes we see are Jackson-Pratts to bulb suction, but occasionally will see a T-tube, hemovac, chest tubes, accordian drains, NG tubes, etc. The most important thing is to look up the facilities policies and reference the physicians orders and call if you ever have a question.
Not really sure what you mean about syringes. We usually will use a 3-5 cc for medications/heparin, and a 10cc for medications that need to be diluted or for line draws. Anything above that is pretty much used only for Foley irrigation/aspiration.
IVs are pretty simple once you learn the pumps. We usually have a primary line, IV antibiotic piggybacks and occasionally another piggybacked line for electrolyte replacement. We also use a lot of PCA pumps/OnQ pumps, femoral nerve blocks and its important with these to follow the anesthesiologists orders over the surgeons.
Our floor we see a lot of Lap Appys, Choles, Hernia repairs, TKA, THA, ORIFs, pelvic fxs, occasionally we will also get GYN/GU pts for TURPs, Hysterectomies, prostectamies, nephrectomies, etc. i would definitely ask about the most common admitting dxs for your unit as it will help you to prepare.