Would you accept a counter-offer? You need to answer this even before you start interviewing elsewhere. But please note: Most people are interviewing for a reason. So think about it – why are you looking for another job?
The Best Advice I can give is to Google the words “Counter Offer.” You need to read all of the literature out there. First, read the articles and blogs about accepting it. Next, read the percentages of you staying with that company, if you do accept it. Finally, read the Pros and the Cons.
Accepting a new job is a life decision and I will not push you to do it. I will give you all of the means so you can make the right decision for you and your family. Go and Google “Counter Offer” and see what you find.