Kevin, you have my sincere sympathy. I was faced with these choices six months ago when my wife of 35 years died. We had not talked about what she would want -- I brought up where I would like to be buried once, and it wasn't something she wanted to even consider -- so it was up to me and her family and our kids. I didn't really consider cremation because it had never been done by her family or mine. The biggest decision, then, was where she would be buried -- here or our original home where parents, grandparents, great-grandparents, aunts, uncles and brothers are buried. The kids were for here; her family would support what we did, though I know they would really have liked to have her close to them. I made the choice: a spot a few miles away with a view of the mountains she loved.
I am considering cremation when my own mortal existence comes to an end. I think the kids would accept it because I will still be buried next to their mom. Burial still seems to me to be the best option; I wouldn't want to saddle the kids with caring for my remains, and certainly don't want to pass that responsibility to another generation. Realistically, only those people who actually know us will care about such things decades from now. Besides, the cemetery gave me one plot if I bought one, so I already have the space.
My heart agrees with Baptist Believer that cremation has not -- until now -- been a popular choice among Christians for good reason. The body, though flawed and subject to the ravages of sin, is the temple of the Holy Spirit, and it is to be respected because it will be resurrected. We are not Vikings to be incinerated in our long boats. My head is not so sure -- there are many practical advantages to cremation, not the least of which is that it doesn't squander an inheritance that could be put to use for the living.
In the end, I think God will forgive us if we make a wrong choice about such things. After all, we are told not to seek the living among the dead.