A rule of thumb might be that the reactance of the filter capacitor needs to be less than one tenth of the load resistance at the ripple frequency. This is just a ballpark estimate; you need to do some serious calculating and experimenting to find appropriate values. The more you filter, the lower the ripple, and the higher the rectifier ripple current and the slower the power supply will change voltage (such as turning on and off). And more expensive and larger.
Use of an inductor will reduce the requirements of the capacitors somewhat, as well as of the rectifiers, as long as there is no resonance at ripple frequency between the L and C. But it also increases cost and size and weight.
Many have scratched their heads trying to invent a formula for this. As far back as F.E.Terman's books there are some serious attempts at computing the values, and the texts are worth reading.