Pork gets an undue bad rap. Especially since they've done a pretty good job breeding the fat out of hogs in the last 50 years. Your average pork chop or ham today is far leaner than in years gone by.
Most pork products I see are quite fatty, ham in particular. I also find pork products much more tough/difficult to digest, although that's less true with decent ham, and that's just my own experience. It's also pretty high in saturated fats.
My family and I probably eat more pork than any other kind of meat, and we don't have sodium or cholesterol problems. Another nice thing is that pork is rarely laced with antibiotics or growth hormone because pigs have hardier immune systems than cattle or chickens, and they grow to market weight quickly. Along with goats, pigs are an ideal livestock for marginal farmlands because they can eat almost anything. And finally, they just taste so damn good and you can eat virtually every part of a pig in some fashion.
A lot of that is certainly true, and I can understand why people eat pork, but given the option, I'd generally judge poultry, fish, and possibly beef as "healthier", although I'm not quite sure about beef. Also, to be frank, your own family's health isn't really a sound argument, being very anecdotal evidence and all.
EDIT: Some cursory research seems to back up my idea that pork is a difficult meat to digest. Interesting. Other red meats take a bit less time to digest, and chicken/fish are obviously much easier/quicker.
Not that eating pork is going to kill you, I just wouldn't call it the most health-conscious meat there is or anything like that.