I normally do not get my statues blessed. I have considered taking them to a Spanish Mass for Our Lady of Guadalupe, as I have noticed that a custom there is for people to bring their religious statues of Our Lady and saints to the church and apparently they are blessed by the priest as part of the festivities (I think after the Mass).
With respect to crosses and medals, the way I handle it is to go from time to time to a shrine where the priests presiding routinely bless holy objects after the regular Mass. Typically they do that because people will buy rosaries, medals, crucifixes etc at the shrine gift shop and want to have these items blessed, but you can also bring a bag of your own items from home that you already bought or acquired. I just take a whole backpack of stuff and the priest blesses everyone’s holy objects in attendance by doing one big general blessing. I could also get my statues blessed in this way, except it’s a bit more difficult to carry the statues as they are heavy, some are breakable and they don’t all fit in a backpack like the rosaries, medals and crosses.