Too chilly for Chilli's?

in Fruit & veg
My Chilli's and Padrons are on the windowsill in the house, and about 12 inches tall. Average of 21c is predicted for the next week or so, with a minimum temperature of about 12c.
Would it be safe to move them to our unheated greenhouse now? They will stay there for the Summer, so no hardening off to do.
Would it be safe to move them to our unheated greenhouse now? They will stay there for the Summer, so no hardening off to do.
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I only have Peppers this year but they've been in the unheated GH now for about 3 weeks. Chillies last year went in about the same time as far as I remember.
SW coastal Somerset here so could be different for others.
I'll move them to the greenhouse this morning, and keep an eye on the weather forecast.