"If you hate cutting down trees, but really want home-grown vegetables, one year of dragging pots around twice per day might help reconcile you to creating some firewood!"
On the other hand, if you can situate your garden so there are trees to the north, you will be pleasantly surprised at how much heat is reflected by those trees, and how much shelter they afford from north winds (especially if they're evergreens of some sort). My garden is about 20 feet south from the tree line (mostly white cedar), and the snow in front of those trees is always the first to melt.