I too, have tried the cut rose flower method, but haven't yet been successful--perhaps because there are chemical additives that the roses have soaked up, or because there are no nodes (which are the points where new shoots grow out), or because the stems have spent much of their energy producing the flowers...BUT, perhaps if the flowers were immediately cut off and some rooting hormones applied to the bottom cut ends, that may work.
Numerous things could be influencing the plant, from soil quality (do you amend and or feed/fertilize it?) to the circumstances of the move. It’s best to transplant roses in spring or ofall, not midsummer. and the new location should have plenty of organic matter/aged manure (these are amendments, per above). And then there’s watering … . So we really can not tell from here.
The Misting Method: As you get more sophisticated in your rose propagating methods you may eventually want to set up a misting bench. It can be an open-air bench or one enclosed in a greenhouse, or even a small misting box, similar to the one my husband Bob built for me. (Refer to "How We Made Our Misting Box," from Rose Ecstasy. You could choose to rig it up with a manual or an automatically-timed mister, whatever your time, money, or expertise will allow. I am fortunate to have a very handy guy for a husband, who is a good sport whenever I come up with these crazy project ideas.
While your cuttings take root, keep them covered and moist. In a garden bed, a simple DIY mini greenhouse does the trick. Just place a bell jar, a garden cloche or an overturned mason jar over the cutting. A clear plastic bottle with the bottom cut out and the cap removed works, too. Water the soil regularly to keep it moist, but not soggy. Your mini hothouse will keep the humidity high inside.
There will be disappointments along the way, when many rose seeds fail to germinate, or perhaps they do germinate, only to die several weeks later from damp-off disease. Sometimes a rose seedling will turn out to be as ugly as sin, or very sickly, and you will reluctantly have to throw it away. Other times they will be just ho-hum, or look too much like its parent, and therefore have no value. But, just when you don't expect it, you might discover that one of your rose seedlings turns out to be very special.   

Wonderful instructable! And THANK YOU! I have the most beautiful smelling rose in my backyard that was there when my father purchased the house (I purchased it from him... the house, not the rose, the rose just came with it :) ) and I've never been able to identify it or find anything that smelled nearly as sweet. It blossoms with two buds a year, consistantly, never producing more or growing any further. Both buds are now dead so I think I will cut them off the moment I get home and start this process. Maybe in a couple of years I'll have a whole patch of these magnificent bushes. Again, many kudos and thanks.
A special stainless steel screen on the handle of the unit raises up when it is dry. When this happens, it throws the mercury switch which opens the solenoid valve and starts the misting cycle. When this stainless steel screen accumulates enough mist, the weight of the water drops it down again, shutting off the mercury switch, closing the solenoid valve. It needs practically no care or maintenance and can be left on, unattended day and night. This control unit is a very practical instrument which will have a long lifetime of carefree maintenance. There are no clocks to adjust, and it is not affected by water conditions. It works simply on the weight of water. The major benefit of the Mist-a-Matic is to control the misting cycle according to weather conditions. Too much water promotes disease and wastes water. Too little water causes leaves to wilt and failure to root. The Mist-a-Matic distributes the correct amount of water. In hot weather, the unit will turn on more frequently as the water evaporates. In cooler weather, the unit turns on less frequently. For operation, you will need to plug the unit into an electrical outlet. You need to hook it up to a water source with misting nozzles.
The plant will become dormant—and you want it to stay that way; it is the natural state. After the first deep freeze, put is in a room or place (garage) with no heat and natural light (window). You can add some water occasionally but this is not intended to be “watering”; the plant is dormant and will not take it up but the soil can be lightly moist. Bring the plant back outside when it shows signs of coming back to life. Plant it, per the guidance above, when the soil warms.
It is generally agreed that "old roses" include species or wild roses; albas; Bourbons; moss roses; China roses; Noisettes; Portland roses; rugosa roses; Scotch roses; centifolias; hybrid pimpinellifolias; damasks; gallicas; hybrid perpetuals; tea roses; and musk roses. Those classified as modern rose varieties are hybrid teas; floribundas; polyanthas; grandifloras; miniatures and dwarfs; modern shrub and landscape roses; climbers and ramblers; and rugosa hybrids.
After the rose seeds have soaked overnight, rinse them in a strainer and place them into the blender with at least a cup of plain purified water (making sure all seeds are covered), and turn it on for a few minutes. It usually doesn't chop up the seeds, but rather, it will clean off the pulp remaining from the rose hip, which would otherwise mold if left on the rose seed. You may see a few seeds chopped up, but those usually aren't viable anyway. Flush the rose seeds again through a strainer using fresh purified water.   
When pruning, be judicious. If you prune too hard in autumn, plants can be damaged beyond recovery. Instead, wait until spring, when plants begin to leaf out for the new season. (Roses are often not the earliest plants in the garden to respond to spring’s warming temperatures, so be patient.) Give the plant time to show its leaf buds then prune above that level.

This is a fungus called black spot. Left untreated, it can cause all the leaves on your roses to turn yellow and fall off. It will also affect nearby plants, as it spreads by spores. Remove ALL INFECTED material and throw it away or burn it. Do NOT leave it on the ground as this fungus is very hardy. It can survive winter and travels very easily, even after being removed from the affected plant. Spray your plants regularly (bi-weekly) in the growing season with a good fungicide (I like the Bayer products). You can also add a little bit of dish soap and baking soda to a spray bottle with water and spray the entire plant.
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