Request Sunset savanna, which is 80% of the savanna view rooms, if you want to see giraffes and zebras. Many also like lower floor request to get more direct view of animals.
Other than that the key, unless you like walking forever, is to get somewht close to the lobby. However, you should not request close to lobby. That used to be the recommended request. Problem is that now practically everyone makes that request with the result that it cannot be met for many. The default position when a location request cannot be met is to place you anywhere that is open in the resort and many who lately have requested close to lobby have ended up as far from the lobby as you can possibly get. Better requests you can try instead are (a) close to the Rafiki elevator which puts you on north wing not too far from lobby and gives you the shortest possible trip to the pool via use of the Rafiki elevator; (b) close to the Timon elevator which also puts you fairly close to the lobby and near the door that is nearest the bus station on the south wing.