Lol here are the primary offenders

You can strip the leaves to make them look neater but I wouldn't do any pruning until spring. Especially on climbers. If you prune them down every fall they will never achieve their full potential.

Is that true even in places like Houston where we never have a dormant period?

Start by figuring out how much cane you intend to leave in the spring. Then add on a foot or two for wiggle room, and cut back to there. With HTs, that are usually pruned fairly hard and predictably in the spring, it isn't hard. Since climbers are often cut back very little, the guessing is a lot harder. I'd try to do some tying up of loose canes before I went after them with pruners.

I don't know when you regularly begin your spring pruning in Houston, Rekha, but when ever that is that is the best time to do any kind of hard pruning on most roses. But climbers should really never be hard pruned or they will never really climb. That's the reason a lot of climbers don't do well in cold climates. Every winter they lose a good percentage of cane length to winter kill and have to be pruned back hard each spring. So we rarely get any real height out of most climbers in the north. There are exceptions of course but you have to look for them. In your climate you should only need to prune out dead wood and maybe do some shaping to climbers.

I think I’m going to try and just shape the climbers by bending and moving the canes around.

Chianti and Teasing Georgia will probably cooperate but Cl Royal America has very stiff canes and a couple are close to 8ft tall.

Then I have 3 Dee Lish and 2 Tiffany that have 4-6ft tall canes that are also very stiff.

Leave them be until the forsythias and large daffodils are blooming. Then is their pruning time.

Especially if you have late spring frosts, pruning in spring is best. Left as they are until spring, the apical dominance of the yet to be pruned canes will cause the uppermost shoots at the canes' tips to start breaking dormancy first in late winter/early spring. At the above prescribed pruning time these apical shoots may be extended with growth a couple inches or so. Pruning them away in spring greatly benefits the bush.

That's because the remaining dormant buds left on the canes when pruned to their appropriate spring season heights, will take a while to receive the message to commence growing, they being pretty hard asleep still, but now called up to be the bush's new dominant buds. That time lag could prevent a late frost, new shoot growth kill off.

Had you pruned now this late fall, the dormant highest buds remaining on the pruned canes after pruning them, will kick into growth in late winter/early spring, and be far more advanced in growth during the dangerous late frost period, and be very susceptible to late spring frost kill/damage.

Moses

Everything Moses said!

For the stiff climbers don't try and bend them. Get one of those fan trellises and just spread them as best you can. There are just some climbers you can't bend or if you can you have to do it very early as they are growing out and the wood is still soft and bendable without breaking. Once they've matured and stiffened up you end up just snapping them if you try to bend them. The Austins are generally pretty flexible but not always. So be careful and don't try to force them.

Dee-lish and Tiffany are not climbers and will not be bendable at all. Just prune them to the shape you want. You can deep prune for height in the spring but remember, if you want them 4 ft. tall you have to cut them to 2 ft. because they are going to want to GROW! During the season you can always do light pruning as you dead head to keep them in shape. Dead heading is a great opportunity to do this because after the rose produces blooms it will take a bit of a rest and then want to grow again. So if you cut the dead blooms off a little deeper than usual it will grow back and produce more blooms.

I ended up bending the ones that were flexible enough to do so, and leaving the others alone for the most part.

In order to keep them more compact, I just sort of intertwined a lot of them.

Maybe not the best idea, but I'll reassess when spring arrives.

Thanks to everyone for all the advice.

I'm hoping they all fill out this spring.