Hi Dan, Welcome to the forums.
I have six caiques, I got them all as recently weaned babies and they are all six years old. They are all tame and they are also all paired up and allowed to breed if they wish. This is all just to let you know that I have seen and handles a lot of caiques. Counting babies up to weaning age I would say about 30 individual caiques.
I can tell you without a doubt that they are each and every one of them are individuals. Some like to be petted, some like to sit on your shoulder or knee and in all honesty some would prefer to sit across the room and do their own thing while you do your own thing. If you get an adult caique you may be able to know a little more ahead of time. Babies, you can tell somewhat what type of personality they have but it's more subject to change.
You really do have to be in tune with you caique and respond to their actions in a way that they like. The better you can do this the better you will get along with you caique (or for that matter any bird). Birds are not like dogs in that they are trying to please you to gain your favor (if your favor happens to be important to them then yes they will try an gain it, but it is not automatically important to them). You also can not be the boss of your bird, any and all advice to dominate or show them who is boss is totally and utter rubbish.
What I think happens with caiques (and most parrots) is that they grow and change and mature. If you miss the changes and do not adapt your responses and how you treat you bird you will cause all sorts of trouble in you relationship. Every time your bird sends a signal no matter how subtle that they do not like what you are doing and you push them or do not stop what you are doing you damage the trust a little. If your bird has been biting you for weeks then you have been ruining your relationship for weeks. You need to slow down and figure out what is going on, assess the situation objectively and figure out a new approach.
I never use gloves, I never towel or use force in any way during day to day activities. I only towel my birds to trim nails and even then I have worked with them (not as much as I would like) to desensitize them to towels so that they are more comfortable.
Over here, we are all about bribery, it can be praise, a head scratch a toy or food that is offered for cooperation. Check out some resources for force free training and positive reinforcement. You can find lots of info on the forum too. I did and it changed my life (my bird life at least).
Caiques are very active and very stubborn. If you allow them to take the lead and use lots of bribery then you will do better. There are never any guarantees but I feel like there are a lot of people out there who are misinformed as to what it means to live with a wild animal as opposed to a domesticated one. Learn the proper handling and do it right from the start be prepared to make adjustments as you go. This advice will serve you well no matter what type of bird you choose.
May I ask, what attracted you to caiques in the first place?