Panasonic and JVC have by far the best VHS machines on the market. Looking at your budget (£300 for VHS and DVD) then I would suggest this VHS machine:
http://www.avland.co.uk/panasonic/nvsv120/index.htm
If you want a non-Panasonic option then I would suggest the JVC
HRS5965EK (available from a store such as
http://www.rgbdirect.co.uk/ ).
For Panasonic DVD players the most appropriate models are the S35 or S75. You can see the specs here:
http://www.avland.co.uk/panasonic/dvds35/index.htm
and here:
http://www.avland.co.uk/panasonic/dvds75/index.htm
Both have had good reviews.
If you want a non-Panasonic option then the Toshiba SD330E (again see
http://www.rgbdirect.co.uk/ ) is a top unit.
The other option is a DVD/VHS combo although I would always suggest seperates is the way forward. The Panasonic DVD/VHS combo is good - it got a good review in What Video and Widescreen Entertainment a few issues back. You can see the specs at AvLand:
http://www.avland.co.uk/panasonic/nvvp30/index.htm
If you are thinking of a DVD Recorder, and are certain you want the 'all-in-one' solution of a DVD/VHS combo the upcoming E70 might be of interest:
http://www.avland.co.uk/panasonic/dmre70/index.htm
You would have to expand the £300 budget though!
Hope this helps - the links provided are just so you can see the specs. If you shop around you'll find the machines slightly cheaper elsewhere.