If you are looking at outsourcing your answering service such that it is easy for you to concentrate on your profession without the fear of losing the prospective clients or customers then the best option for you is to go for best small business answering service companies.
I would suggest that you go in for the niche specific company as generally that works well. Let us say that for example that you need someone to answer all the calls in Spanish then make sure that you go in for the answering service company that has the professionals who can speak Spanish.
There are specific companies which offer niche area like medical answering companies or lawyer answering services or even the helpline kinds which are for self help and emergency. These agencies specifically train the employees in how to handle specific situations. They make sure that the employees handle the pressure well.
Again a lot of jobs are there in the billing industry so if you are looking at pure customer service type jobs to be outsourced then go for those companies which specifically deal with customer service companies or billing type inquiries. The best example is telecom companies or the banking customer service representatives.
Again a lot of jobs are being outsourced to countries like Philippines and India . Now it is your call that whether you want to get the work done there or not. Some companies will upfront disclose that they have a call center in these countries. You can decide then to give work to that company or not. Of course it is costlier to have a US based call center employee than the low cost one that operating out of India or Philippines. There are several companies which are near shoring which will mean that they have people sitting in Latin American countries and hence a much better option as they have a voice quality and speaking style which is better and easily understood.
Also there are some home based small business answering service companies which you can tap.
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