Hi Kalin - great idea!
Have you checked you like the leaves? I find Tilia cordata leaves are very pleasant when young. The Toona sinensis I gather is more of an acquired taste (mins is still a bit small to harvest - it likes a warmer climate I fear. You could also consider growing white mulberry: I understand these leaves also make a good vegetable, and you get the bonus of fruit as well! I visited Martin Crawford's Forest Garden at Dartington a couple of years ago and he was pollarding several trees for leaf vegetables (
My visit report)
I would suggest if you are thinking of keeping animals then pollarding makes more sense than coppicing. Pollarding is just letting the tree grow a trunk first, then cutting it back at a height a few feet above ground level. This way the new growth is a little less accessable to browsing animals (and stray dogs...). You can make it at an easy height to reach still if you only need to proetsct from ducks - 4 to 5 ft above ground should be fine. Limes are commonly pollarded in the UK when grown as street trees
These are probably a bit taller than you would want though. They can also be pruned to make quite ornamental forms if that is a consideration (for example
Glebe house gardens 
)
In each of these cases I understand the younger leaves to be the best. Depending on your climate you may be able to make more than one cut a year so keeping a supply of new leaves through most of the growing season. The spacing therefore could be pretty tight. Lime trees can be planted as a hedge in the UK, so I guess you could pick your spacing to suit access. My suggestion would be to look at mature trees local to you and measure how long the new growth is in a year and use that as a guide.