Computer Science / Software Engineering, Bachelors then Masters / Integrated Masters?

Literally anything. You're overthinking it. Apply for the BSc programmes and if your grades go well you'll get asked about moving up.

So no benefit of doing the BSc then MSc route in your opinion (over the MSci/MEng route)

MSci for the same reason as the MEng. (Funding is easier.)

But funding aside, is the MSc not looked at differently?

No. None at all to consider the added financial burden of the added MSc.

Not by employers. The MSc may have more specialisation options, and may be a better route if you want to do a PhD. But even then you can do a PhD after MSci anyway.

Your first task is to get an undergraduate degree. Stop worrying about the MSc

Funding shouldn't be a problem.

Both the MEng and MSci qualify for full SFE funding.
The MSc only qualifies for the Postgrad Loan which is not as generous. (Max £10k including tuition & living)

So from a finance perspective the MEng or MSci is the way to go.

As to the difference between CompSci and Software Engineering, you'll have to look at the detailed course descriptions. But CompSci is typically a bit more theoretical/academic than Software Engineering.

Well this confused the life out of me.
The Computer Science Course is an MCompSci, what does this mean in terms of funding?

You don't need a MSci or a MSc to get a good job you know. The BSc on it's own is sufficient.