Hello Dyvonne! Best of the new year to you!
It's always exciting to get new roses and plan what you are going to do with them.
For the climbers you are putting in hanging baskets: I have never heard of them being put in hanging baskets, although I don't know why not. Remember though that the pot needs to be large enough to allow the roots of the rose to grow, it will not flourish in a small 12" hanging container. Because it is in a pot, and not in the garden, it's nutrients will be depleted quickly, as roses are heavy feeders. Remember to continually be adding nutrients to the soil. If you keep them in pots over several years, you should completely change the soil every year or two. Also, be sure not to put them in black pots, as the color black will make the roots extremely hot in the sun. The pots should also have adequate drainage. Although roses like alot of water, rose roots rot if they sit in water.
For your other four new roses: David Austin roses actually fall into the "Modern Shrubs" category of roses. Modern shrubs have evolved from the crossing of old garden roses and modern tea and floribunda roses. So they have the best qualities of each. The wonderful fragrances and beautiful flower forms from the old garden rose, and the recurrent blooming, hardiness and color range from the modern hybrids.
You are correct that having them on their own root will make them a much hardier rose. You should give these roses the same TLC you would give your other roses. They probably will be stronger than your other roses (I am assuming we are talking about teas, etc) but only because they are meant to be a shrub, so grow differently. They don't however, need to be pruned as much as teas, etc. Just for shape, and dead wood.
You don't need to worry about your roses slowing down. They will do what nature needs them to do. Just leave them be. No fertilizer or soil enhancers right now. They will just rest and come back to life when they need to. It won't hurt them if they do not totally drop their leaves and everything.
Feel free to let me know which specific roses you bought, and I can probably provide you with a little more thorough information about them. I hope they do beautifully for you! Enjoy them!
Happy New Year - talk to you soon.
Val