I have the private keys for multibit HD. Will that work out for me well?
Probably not. MultiBit HD does not allow you to choose which nodes you are connected to so you won't be able to choose which chain you want to use and transact on. It does not provide the (slightly) advanced functionality required to split your coins either.
So electrum is a better choice and gives me all the options I need. correct?
To give a quick answer, yes, for me Electrum is the best choice and gives you all the options needed.
Even better, that is the only "non-node" wallet that I have heard has posted in their website how to proceed in case of a hard fork.
Check it out:
http://docs.electrum.org/en/latest/hardfork.html