Paws can really take a beating from all of the outdoor elements, but much more so in the summer and winter. Summer brings about issues of hot pavement, which can cause burns in under 3 minutes.
Winter brings about issues of road salt and ice melt chemicals (which are often brought into neighborhoods via vehicles), snowballing (tiny ice or hard snow pieces getting wedged between toes or paw pads), and the general problem of a Maltipoo standing or walking on freezing surfaces.
After all, paws are just skin; the cold can permeate through them and they can become very dry or even cracked due to exposure.
Generally, it is advised to protect the paws by routinely applying a quality paw wax. A good wax will be absorbed quickly (under 10 seconds), will allow the paws to breath, and will add a layer of protection.
Of course, if you think that your Maltipoo would be tolerant of shoes or booties, this is an option as well. Look for good fitting booties that have Velcro fittings to allow an adjustable fit.