1) Welded wire fence 2) Chain link fence. If trellis is up against the side of the house, chain link won't bother landscaping too much. 3) A frame can be created out of lattice or poles cut to desired height that are then secured together with hinges or braces to create an open tent-like structure that is then covered with vines (vines will need regular trimming). Vines like grapes, kiwi fruit and hops grow well without a trellis. The cheapest solution for a post heavy trellis is welded wire fencing because it's reusable and easy to find anywhere you look for it.