Sebastian M. answered 12/02/19
Neuroscience graduate w/ experience tutoring high school students
Hi there Affar!
One major difference in cell structure is that eukaryotes have membrane-bound organelles (i.e. compartments) within them, whereas prokaryotic cells don't.
In terms of DNA storage, eukaryotic cells possess nuclei, while prokaryotic cells don't (their DNA is stored in a free-floating, circular nucleoid).
In terms of RNA synthesis, ribosomes are located in prokaryotic cytoplasm, whereas eukaryotic cells also contain them in the nuclear membrane or the endoplasmic reticulum (an organelle responsible for modifying proteins).
All other organelles in eukarya can also be noted as differences: Golgi apparatus, mitochondria, chloroplast (in plants), lysosomes, proteosomes, etc.
In terms of outer-membrane structure, prokaryotic cells are the only ones (aside from archaea, the third domain not addressed in this question) that have a cell wall. The composition of this wall can vary, as evidenced by gram-positive versus gram-negative classifications. If you'd like more information on that, please let me know.
Hope this helps!