Multiflora rose and how conservative to be before replacing with an ornamental rose?

Hi all!

We just bought our house last summer and I've still been getting to know the plants we inherited in the existing landscaping. I am definitely still an absolute novice but have been really enjoying gardening around the house. There was one rose bush that I trimmed back heavily last fall and now that it has bloomed, I've discovered it's a multiflora rose and not something worth cultivating.

In fact, it seems that multiflora rose is quite invasive and not something I want to show much pity at all. I've been reading about how to best remove it and it seems like digging it up and dousing the area where it was with glysophate is recommended as effective. It's intertwined with a juniper bush that I'll probably end up losing as well, but I can live with that.

Does anyone have any experience with removing multiflora rose and have any advice about how long I should wait before replacing it with an ornamental rose bush instead? I would love to replant next spring but my concern is that if I haven't successfully killed the multiflora, I won't be able to differentiate any surviving growth from young growth of the new, desirable plant, since both will be roses.

Thanks in advance!