Small dogs do not do well in the cold weather. The Chihuahua hates the cold and may shiver. It will tolerate and even appreciate a warm sweater on cooler days.
Dogs also take time, patience, and reptitiveness to be trained. Houes training does not happen overnight, it's not instant. For some dogs it can take up to 6 months, or even longer. You need to be able to have an open schedule and take them out when they need to, to keep a schedule, so that the dog can get use to it, and be patient and firm. If they pee/poop 5-6 times a day you need to be able to take them out 5-6 times a day. There are different methods of training your dog, crate training is the most widely used.
As for the energy. Dogs, especially puppies, have A LOT of energy. You have to be able to provide them with attention and care to wear down their energy. For example my dog (miniature pinscher) has a lot of energy and it overwhelms me sometimes, so I enrolled her in an puppy agility course. It's fun we both can participate.
As for obidence you should tried enrolling your dog in an training course. It'll help with getting your dog to listen to you as well as having your dog play with other dogs (socialization) which wil also wear down the energy.
" For some, they may be slightly difficult to train, but they are intelligent, learn quickly, and respond well to proper, gentle (positive reinforcement) training. This breed may snap at teasing children, after all it is too tiny to get away. The Chihuahua must resort to his sharp teeth in self defense. It is not recommended for children. He can be noisy and may require patience to housebreak. Many owners simply paper train this breed."
"Owners must be very sensitive to the fact that short-haired Chihuahuas, and even long-haired ones, are vulnerable to the cold. In temperatures of 35-40 degrees Farenheit, I would recommend dressing your Chihuahua in a special dog sweater for brief walks. Walking your Chihuahua in temperatures below 35 degrees Farenheit is strongly discouraged, especially when there is a wind-chill factor. In this, as in other aspects of dog maintenance, keep your dogs' health top priority, not your own desire. In some cold regions, an indoor heater will be necessary to keep your Chi comfortable."
I dislike judging people on this board or being rude, but if you do not have the time, patience, understanding, and care for your dogs (which you do not seem to have) you should consider giving up your dogs for adoption or to someone who does have these qualities. It seems like you put your cat's first, you do not have the patience to houes train, nor train them. Good Luck.