If they are the normal Zucchini and not some new ultra spreading type - they will get about 2-3' tall and be about 4-5' around, so they do need room.
Some of the newer types are more compact and they do have a climbing one out usually found in specialty garden stores/sites.

but yes pick them while small and slender - they grow over night it seems and double the size fast LOL

If you miss a few , the next time you see it - it is huge
The stems will break/crack easily, they are much more brittle than cuke vines.

saute, stir fry, I even slice very thin and put on homemade pizza, zuc layers in lasagna, cassaroles... love it - even raw w/ ranch dip