First, so glad you snipped off the shoots coming from the base of your rose plants. If they both overwinter in pots you can leave them in the containers and you don't need to keep moving them to larger pots. Just use shears and a sharp knife to make the root ball smaller every 4 years or so and replant into the same container but add fresh potting soil around the sides and in the bottom of the pot. Be sure to use a complete fertilizer like Osmocote on your roses but especially potted roses as they need lots of nutrients when trapped in a container. I also use Osmocote around the base of my in ground rose plants to make sure they are well fed for summer long blooms. A slow release plant food like Osmocote won't encourage fast, weak growth, or suckers. Too much plant food absorbed too quickly encourages pest and disease problems on roses - a slow and steady release makes roses the happiest. Keep growing, Marianne Binetti