Spring treatment forms a integral part of having a perfectly maintained garden through out the year, this includes a cutback of all trees and shrubs, encouraging new growth, pruning of roses, this will allow the plant to strengthen itself and have a full blossom of flowers.
There's no point in pretending you're not going to be out in your garden the first warm second of spring. While there is no harm in cleaning up fallen branches and debris, wait until the soil is no longer wet enough to form a ball in your hand, before walking on it and compacting it. But don't wait too long to start your clean up. It's much easier to cut plants back before the old growth gets tangled up in the new growth.