And how many days you have?
You can easily visit Pakistan monument (Shakkar pariyan), Lok Virsa museum, Shah Faisal masjid , Lake view park, Saidpur village, Jinnah super market, F.9 Park, Centaurus mall etc.with careem, uber, Bikea because they are all within city. But you can't visit Monal and Daman e Koh with careem, uber because they have to wait long for you there.
You can also enjoy travelling via metro bus. Prefer using careem, uber instead of local taxies. Kyun k taxi driver aap ko pardesi daikh kar choona lagany ki koshish karain gy.
You can easily visit murree via public transport, daewoo ,Faisal movers etc from Faizabad stand. From Murree bus stand you can also take local transport to Nathia gali, Ayubia.
But if you are coming here for the first time and have a couple of days ,then you must see Murree, Nathia gali, Ayubia. Ye nahi daikha to itni door sy aa kar paisay zaya kiye.