Нести is a determinate verb. Determinate verbs are used to express motion toward a single direction on a single occasion. Eg.: почтальон несёт письмо -- the postman is carrying a letter (now, at this moment) Носить is an indeterminate verb which used to describe an habitual action taking place regularly or often. Eg. почтальон носит почту -- the postman carries mail (as a profession) Other pairs of the deteminate/indeterminate verbs: идти -- ходить бежать -- бегать, лететь -- летать, плыть -- плавать, тащить -- таскать, катить -- катать, нести -- носить, вести -- водить, везти -- возить, ползти -- ползать, лезть -- лазить (лазать), брести -- бродить, гнать -- гонять.

Он носит = "there and back". Many times, to the place of destination and back. Or he simply does it always or generally (every day etc). Он несёт = only "there". He has one initial point and one point of destination, and he is going towards his destination. You emphasize that he is in movement. Он приносит - analogously: he brings something in any place regularly (or right now). Он принесёт - he will bring something in this place only one time (it's the future tense, there is no present tense for perfective verbs).

он принесет this act will be performed in future

он несет this act be carrying now

Он носит и он приносит this action going generally