You can clay right over wax. Besides, if you waxed a month ago you'll need to redo it anyways.
OK look. Go out and wash the entire car with a good car wash soap. I use all Gliptone professional products at my shop but they also have retail products you can buy (
www.gliptone.com). They have an awesome soap called wash and glow. It suds up nice and has a chemical that makes the water sheet off the car for easier drying.
After its washed rinse it and don't dry. Wet one panel at a time with the soapy water mitt and clay it. Then rinse the entire car and dry it. Take an applicator and pour vinegar (white distilled) on it and apply it to one panel at a time. Rinse the entire car and wash it again. Your car will be stripped and contamination free at this point.
If you have a dark color or if you see spider webbing or swirls in the cear you can polish it out with a PC or rotary (if you know what you're doing) follow with a glaze and a carnuba wax.
I can elaborate a ton more on different things but this will give you a general idea of what to do each month to keep it looking new.