When planting in a long-term container, choose John Innes No 3 compost, with added grit to improve drainage. :o))

I want to put it into a bigger pot Ladyessex, I have a bag of multi-purpose compost, but not sure if that's okay to use. I don't have any room in my garden to put it in the ground.

if you can add some grit to the compost you have, it will add some weight to it. the compost itself will be fine just not that 'heavy'.

Multi purpose will be fine for a Cordyline, but as Seaburngirl says, its lighter than loam based potting soils like John Innes, so more likely to be blown over, especially if the soil dries out a bit. But if multi purpose is what you have, use that....you could always put in a brick or two in the base to increase the weight, if you've any clean old ones lying about...

Thank folks, your answers are much appreciated. Got to go and buy a large pot today, as it was obvious by looking at the damaged pit the Plant itself was pot-bound.