New Contract

[barrydidit]

!

The 3 days I travel to the office will be 60 miles round trip per day. Is it worth putting this through an expense ?

That would be £81 a week, at 45p a mile (which you can claim for the first 10,000 miles of business travel, 25p a mile thereafter).

I'm struggling to understand how expenses work

There are loads of resources available on this site... But as a rule of thumb, whatever you incur as an expense of performing your role can be claimed from your company (assuming you're LTD) by you as an individual. Understand that your company and you are two different legal entities, and the transactions between the two need to be formally documented. If in doubt, ask your accountant, it's what you're paying them for!