Cucumbers - in or out?

I was given a couple of cucumber plants from a guy who doesn't know what variety they are.

I had presumed that they would be cold greenhouse plants and have them in 5" pots at the moment, but they look like they are going to be hungry beasts - compost is damp, not waterlogged, but leaves are showing chlorosis already - lack of nutrients?

I am wondering if I would be better hardening them off and sending them up to the allotment under a coldframe? Do Cukes usually grow outdoor or greenhouse? Never tried growing them.

If they can go out, I could use the greenhouse space they are taking up to grow a couple of chillies.

thanks NoShed - do I take it from your Avitar photo you now have a shed?

One in the greenhouse and one outside seems the obvious way , just in case this year never warms up.