The one barratt_sab posted looks easier easier to operate would this function ok? Still not sure what heating cable to get tho or tube heater as there are too many choices. Its 50mm celetex equiv of kingspan that should hold 4x 30lb buckets in 60cm x 80cm celetex box. 25w is probably too low for that.... the ecostat is 100w I believe.
A "PID" controller offers much better temperature control - after you have set it up properly (and here I'm talking about the parameters you enter or tweak after 'autotuning').
A PID plus a solid state relay can provide awesome control. A bit like a computer controlled dimmer switch.
But its not needed for this job, and unlikely to be simple to setup well.
A simple "thermostat" (as linked by barratt_sab) doesn't need proportionality adjustment. It turns the heater full on or full off. Generally you can set a target temperature and an 'allowed' range - like only turn on the heater when the temperature falls more than your allowance below target. Something like 1 degree C should work fine. (You don't want if switching too nervously.)
That one has a relay (for your heater) included inside. The relay seems to be able to handle 10 amps (so 2200 watts - way more than your likely heaters).
Because you are controlling the temperature with the thermostat, as long as the heater is big enough (providing enough heat) without being absurdly too much, the size of the heater isn't critical.
I'd suggest that you wire up your controller's output relay connectors to a socket - so that you can switch
whatever 'heater' you choose to simply "plug in".
Consider the 'output' terminals to be the terminals on a switch.
1/ If you don't know what you are doing, get hands-on help.
2/ Run your homebrew system through an RCD safety plug or socket (£5 well spent on life insurance).
3/ And include a small fan in your box to even out the temperature ... and thus make sure that what the sensor is experiencing is typical of the whole box. A low-voltage fan from a scrap computer plus an old (transformer) fat plug from a broken gadget should cost almost nothing - and be fairly safe. Just make sure the voltage is appropriate!