A quick google suggests the round trip will be about 16 miles.
That's good, because it's well within the range of even smaller ebike batteries.
Less good is your budget which is not going to get you anything other than a Chinese bike with basic components.
The various Carrera ebikes in
Halfords ouught to be a good choice, but they seem to suffer from an unsolvable cutting out problem.
If it was my £1,000, I would spend it on something from either woosh or Kudos, both well-established brands, both UK based, and both have a good reputation for customer service.
Kudos will sell direct, or they have a handful of dealers.
Dave, who owns it, will usually send out a bike on approval to a serious inquirer.
You can only buy woosh bikes from Southend, so they are mostly direct sales.
The company is owned by Hatti, very pleasant woman who you might get to speak to if you lift the phone.
Other than that, have a look in some local bike shops.
Many now stock a few ebikes, although the cheaper ones may be a brand few of us would recognise.
Lots of choice of bike style on both these sites.
Don't rule out a 20" wheel bike, they are very handy in traffic, a bit easier to (wo)manhandle generally, and more than capable of bowling along for eight miles at a go.
http://wooshbikes.co.uk/
http://kudoscycles.com/