According to canon law (1176.3):The Church earnestly recommends that the pious custom of burying the bodies of the deceased be observed; nevertheless, the Church does not prohibit cremation unless it was chosen for reasons contrary to Christian doctrine.
But you need to be careful about the funeral Mass, because the actual permission given to have cremated remains present for the funeral Mass was worded this way:
"...this Dicastery concedes a particular permission to the diocesan Bishops of the United States of America. By this, local Ordinaries are authorized in the individual cases which are brought to their attention to permit that the funeral liturgy, including where appropriate the celebration of the Eucharist, be celebrated in the presence of the cremated remains instead of the natural body."
As far as I can tell, this means that in each individual case the bishop must approve. It is therefore not a given that permission will be given to everyone. If you want to see the document, it is here: usccb.org/liturgy/current/cremation.shtml
Regarding money, it is surprising what people can afford if they think it is important. Certainly not everyone can afford to have the natural body present at the funeral Mass. However, it is equally certain that some people who say they can't afford it could in fact afford it if it were important to them. However, it is seen as a waste of money that could be spent on something else. If that something else is food, shelter, clothing, basic transportation, education, etc., then I agree. If it's electronics, entertainment/movies, eating out instead of at home, an expenseive car, etc., then it is just a matter of priorities. Just my opinion, though.
Regarding the eulogy, I believe there is no problem with having one. The thing that I understand is not supposed to happen (GIRM 382), and nonetheless does happen with distressing regularity, is for the priest to turn the homily for the funeral Mass into a eulogy.
If it is the funeral Mass for an immediate family member you could just ask the priest not to do it. If it is your own funeral you are considering, then you could write down your wishes and make sure that an immediate family member knows where to find them. If it's for someone else, as Father pointed out, there's not much you can do.
For myself, in my funeral instructions (if I ever get around to writing them), I'm also going to ask specifically that nobody at the Mass say that I am already in Heaven. Unless I become a lot better (or of course a bit worse) before I die, I'm going to want people praying me out of Purgatory, and it seems less likely that they'll do so if they're told I'm in Heaven already, as I've seen in several Catholic funerals I've attended.