You can put the rose cuttings outside now, keeping them in the same pot. I used to do that but the problem is that you now have to look after them all summer and make sure the pot does not dry out. Don't try potting on at the moment. I did that once after the cuttings had sprung into growth in spring, only to find that the roots were barely formed and delicate, so when I potted them on they rotted. You could pot them on in a month or two, and then put them in shade until they have settled down.
Last September I did what Monty did - a 10" deep trench, sharp sand at the bottom, then 2" soil / compost, 10" cuttings as thick as a thick pencil, rooting compound, with just the top 3" showing above ground. I will leave them until autumn by which time they will have a strong root system ready for planting into their final sposition.