I will second a mattock, best thing for grubbing up awkward roots, especially brambles. I also have what I haven't seen recommended is a large digging hoe of the kind you will see Asian farmers using. I have essentially aquired a lot of tools over time, generally if I don't have anything that is up to the job I go out and find something, like a long handled bulb planter for instance which is also useful for planting small tree saplings.Most electric shredders are very time consuming, big petrol ones are great, but pricey! Beware removing too many roots on a slope because roots hold the soil together. However for trees of a reasonable size, bow saw, basic hand axe, small folding saw, trowel and mattock are needed. Bow saw to cut down the tree. Mattock to dig around the roots, trowel to scoop out soul from under roots. Small axe and hand saw to cut through larger roots. A pry bar or lever to get the stump out us also helpful.