I thought Barclays offered the basic bank account to people that were in a TD?

They do Neverendingstory - as do almost all of the others.

The key difference with Barclays is that this basic account is also available to undischarged bankrupts.

I have moved from tsb to Halifax reward current account. Is that suitable

You'd need to check with Halifax kitkat.

I believe that their basic account is called Easycash.

Usually it's just the basic accounts that are available, under account acceptance rules, while in a trust deed.