[chryuop]

Ok, a little bit of confusion here. I go backwards and I start from your last question. 料理しています (ryouri shite imasu) doesn't have any particle because it is all one verb. There are some nouns to which you can add the verb "to do" (suru) and they become a verb. Ryouri is a noun which means cooking (as in Italian cooking, Japanese cooking...sorry English is not my language, hopefully I got the right word hee hee). When you add the verb "to do" becomes "to cook". It is the same for many other verbs, probably one of the verbs you might meet more often in written exercises is 勉強する benkyou suru(the study of something+to do=to study).

Now as per the 2 particles I would suggest you learn when to use them instead of learning which verbs use them. They have more uses, but the one in common that mixes you up is the following. They both indicate a location, but they differ in if the action is carried out in that location. If there is actually an action which is being carried out in that location, then you will use で (de). If there is not an action going on, but the location mainly indicates the ending place of the verb then you will use に　(ni).
I will give you a couple of examples, hopefully they will help you.

レストランで食べる = resutoran de taberu (eat at a restaurant). In the restaurant you actually carry out an action, which eating.
公園で待っている　= kouen de matteiru (waiting in a park). It is in the park where you actually carry out the action of waiting.
家に帰る = uchi ni kaeru (go back home). You don't have any action going on at home (at least not that is mentioned by the verb kaeru). In that case the location shows the place where the verb end its function.
電車に乗る　= densha ni noru (getting on a train). Even in this case the action of getting on a train finishes when you are on the train, so there is no actual action going on on the train itself.

Unfortunately sometimes it is not so easy for someone who is not well trained with the Japanese language to tell the difference. There are still verbs that puzzle me and in my head they should use a de, but they use ni....so only practice will help you.
For example, even tho I see the action being carried out and not ending in the location, these verbs use ni and not de.
友達の家に泊まる = tomodachi no uchi ni tomaru (spending the night at a friends house). In my head I see an action going on, but not according to Japanese's point of view.
東京に住んでいる　＝ tokyo ni sundeiru (abitare a tokyo). Even in this case I see the action not ending, but being carried out yet the particle is ni.

So practice, practice, practice, only practice will make you meet all exceptions.
P.S. I am not an expert in the language, so there might be errors. If a native speaker or someone who knows better than me corrects me, takes their words for correct.