I have a greenhouse attached to my house, which we remove the plastic from for summer and reattach it for winter. In winter it serves 3 functions: it is the primary source of heat for the house, it provides vegetables, and it provides a green space that is really nice to have in winter. I also use it for starting seeds in spring, and for keeping perennials that wouldn't be quite hardy outdoors in my climate (Rosemary and grapes are the big hits), and getting some perennials up early (bulbs in Feb, asparagus in March-April, which are 2 months later outdoors).
The winter produce from the greenhouse is primarily salad greens and herbs. The greenhouse drops below freezing every night for 2-3 months but the arugula, lettuce, spinach, claytonia, brassica/mustard greens, mache, cilantro, parsley, dill, don't mind a bit.
Pests are a constant issue in the greenhouse, especially in the spring when some days get very hot in there but the nights are still too cold to remove the plastic. There's always some aphids (obviously being farmed by
ants), sometimes mites, and this past winter some tiny white flies that are smaller than aphids and fly around.
Here are the methods or systems that have worked for me so far:
1) A variety and a succession of things in the greenhouse means that as one thing is getting ruined by a pest, something new is coming up. Each year is different.
2) On some types of plants it's possible to squish aphids with fingertips and wash the plant with a jet from the hose.
3) A couple times I've done ant massacres, which really reduced the aphids. Sometimes with boric acid bait (
honey and boric acid powder), and other times by flooding the
garden bed they're living under and squishing them all as they come out. Ridiculously time consuming and I was afraid I'd get caught by somebody and disapproved of, so I only really did that once. But reducing the ants clearly reduces the aphids.
4) The permanent mulch on most of the beds in the greenhouse seems to have let populations of small spiders take hold, and that seems to keep the pests down. My theory is when there are lots of ants they stop the spiders from doing their work. Unfortunately the ants are active even in cold months whereas the small spiders don't seem to move around much until everything warms up a bit in spring.
5) Against the mites and the tiny white flies I haven't really found much. I spray the plant with a jet from the hose and that knocks them back temporarily. These pests don't kill the plants outright, and luckily they are mainly on my ornamentals and not much on the edible plants.