Most regionals have jumpseat agreements with most airlines, so you can jumpseat where and whenever you want (within the agreements, i.e. maybe not international or limited seats for pilots from your company).
Now, if you are looking at travel benefits for your family that depends on whom you work for. At my company we have travel benefits on Delta, United (except those Houston based), and Continental (limited to those Houston based). Each partner is different, example: Delta; you, your wife, and kids can travel free in the USA and 3 international trips a year, but your parents pay a fee based on mileage. On United, they charge you and your family a fee based on mileage adjusted whether you sit in first class or coach. On Continental, I think (not Houston based) it is a flat 12.50 one-way for you and your family. There are also passes; you can purchase from other airlines as well though the travel department which can be a flat fee, ZED fare, ID90, etc. It can be quite complicated at times to figure how to get somewhere and how much will it cost you.