Any suggestions on what is the most secure wallet to go for?
Most secure wallet? I'd say a "paper wallet". In other words, private keys and addresses written down on a piece of paper and securely stored. It is impossible to hack into a piece of paper over the internet.
I don't expect to use funds from the wallet weekly but would like the facility to spend and trade as and when I want/need.
If this isn't for long term storage, then you might want to look into Armory. It is "air gapped" for improved security over other electronic wallets, but adds convenience over a "paper wallet". If you don't have the resources to keep a computer offline, then consider Bitcoin-Qt (the reference client). Bitcoin-Qt does require that you have lots of disk space available (10 GB at least) and needs to synchronize with the network every time you start it up (which can take quite a while if you don't start it up very often).
If all that is too inconvenient for you, then consider Electrum, MultiBit, or blockchain.info/wallet. The security of all three of them is pretty similar, and they each have their own "quirks". You'll have to look into each and decide which best fits your needs and which you most prefer using.
Also as I'm with Mt Gox is there any way of transfering directly into a wallet?
Yes. You'll find it in the "Funding Options" section under "Withdraw Funds".
And likewise to a bank?
Yes. You'll find "Add Withdraw Method" in the "Funding Options" section under "Withdraw Funds". If you click on that, you'll see "Bank Transfer".
