Need a refurb PC that will do what I need

Hi

I'm having major issues with my PC - I will give more on that later, but we were going to buy a cheap refurb anyway, so i'm asking for advice on that here.

I am currently skint - and I mean skint   So I have to go as cheap as I can for now.

All we require is a very basic PC that we can get onto the internet, watch online videos/TV and for me to run DVD editing software - I did that with my old Win XP that was umpteen years old.

The only games that are played are Football Manager type games, so no major graphics.

I have the options of these.

Brand - Dell
Model - Dell OptiPlex GX620 Desktop PC
Form Factor - Small Form Factor (SFF)
Processor - Pentium D 2.8GHz (Like 5.6Ghz)
Hard Disk Capacity - 160GB Sata
Memory - 4GB DDR-2
Optical Drive: DVD/RW
Windows 7 Pro
Integrated/On-Board Graphics

or

HP DC5750
Processor : AMD Athlon 64x2
RAM : 4Gb DDR2-5300 (upgradeable to 8gb with 4 banks of RAM)
Optical Drive - DVD Multirecorder
Hard Drive : SATA 160Gb
Operating System : Windows 7 64bit SP1
Integrated/On-Board Graphics

Now, I think these will be ok, but I have a couple of concerns.

Are these likely to have ethernet ports and are the integrated graphics good enough for football manager and online tv viewing?

We use the PC alot, but we don't need a huge gaming system. Just enough to keep someone watching the TV/Videos online and the running of the football manager games and enough for me to encode basic videos etc.

Thanks for any help - I hope i'm in the right place - I am new - I had to join after coming across you so many times on google!  

PS - I know one is dell and one is HP, but I didn't know where to put this, so I didn't want to duplicate and put one in Dell and one in HP.