Any spider would represent an aspect of your own emotional nature – an aspect from which you can obtain the ability, motivation or inclination to deceive yourself (because the spider spins the ‘web of illusion’).
The spider on the dog would imply that a feeling of deceiving yourself pertains to the issue of friendship and loyalty. Hitting the spider away is like brushing it off, i.e. being able to disregard the possibility of any self deception. The spider on your daughter can suggest a feeling of self deception may pertain to your actual daughter, or to a very favoured feeling you have, or about yourself in the future. Again this feeling is and can be brushed off.
The spider biting you indicates that a feeling of deceiving or fooling yourself is not working in your favour. Here the deception or illusions relate to an "up in arms" situation - something that makes you very angry. (on the arm) While you do manage to brush it off, it has had an effect upon you. (you are left with big lumps) The lumps can be indicating that the effect of feeling you could be deceiving yourself has "gotten under your skin" - it has become a real source of aggravation. The lumps on the arm also suggest that where you could be up in arms, your own self defensive system (the skin) is not quite "on the level", i.e. your self defensiveness is not honest or legitimate.
What is moving suggests a 'living idea'. Thus the moving lumps can be suggesting that you could see your own self defensiveness not being legitimate, as a livable idea. The True Self would seek help at a hospital, i.e. in a situation offering help from a higher source (God). But there is no aspect of yourself (the people) that hears this,
Note that hitting the spider off 3 times indicates that brushing off a feeling that you might be deceiving yourself is a good and godly idea. Also a spider, or any animal, biting you is an insult to your rational thinking.
[PS. I would think twice about manipulating your dreams because they are designed by God to bring you guidance and correction of your thinking. Manipulating dreams simply postpones receiving the information needed now. Use dreams to help you spiritually rather than to serve your ego. Note also that the impression of control in lucid dreaming is but an illusion as you are still asleep and dreaming, living in your own dream world of imagination and fantasy.