What are things to consider when cremating a body and buying an urn?

My father just passed away and we are currently looking for a crematorium in Rhode Island.

We are absolutely blind to the process and do not know what to look for in a crematorium. Additionally, we will need to buy an urn for his remains.

Does anyone have any tips or tricks in getting either done? We don't intend to cheap out but my father was very frugal and pragmatic. We see that a good way to honor his memory is to make sure that his death doesn't get price gouged.

Edit: thank you to everyone for your advice. We are having him cremated at the best price for the state. We are not paying for an urn and opting to spread some of his ashes and keep the rest.

We attempted to donate his body (eyes, marrow and skin) but the medical examiner jumped the gun and disqualified him by processing the body despite being told to hold off. We are vibrating with rage and contemplating recourse.

I thank everyone for their advice and support.

......also, nobody commented on how I made this "buy it for life". That is all.