I've never used a Segwit address,and I'm pretty sure that the transaction fees won't be lower.
People here claim that Segwit transactions are more secure,but I don't know what are the risks involved into just sending bitcoin to another wallet.Perhaps a will get a Segwit wallet in the future,but right now I'm not moving my bitcoins.
Yes the transaction fees will be lower, since your transaction will be smaller in size.
There are no additional risks involved with using a segwit address, just pick a secure wallet in general.
Sounds like you really need to read up on how Segwit works.
Edit: Sorry, I missed @bob123's reply, which basically explains it better than me.