You want a "lasting result." - Filler lasts anywhere from 9-18 months, depending on the type and amount of filler placed. A properly performed surgical rhinoplasty lasts forever.
"Will it be worth it?" - if you are trying to save costs, you have to consider that filler may actually be more expensive over time, especially if you plan to maintain the result of your filler rhinoplasty which will require injections every 1-2 years (cost ~$1000 every time).
"Will fillers make my nose look bigger?" - in general, YES, fillers add more volume to the nose and thus inherently make the nose bigger; HOWEVER, properly placed filler can sometimes create the illusion of a narrower/smaller nose.
"Best option...best results...cost effective" - given the above information, I think you would best benefit from a surgical rhinoplasty which can give you a smaller nose, durable results, and is cost-effective compared to the maintenance required with filler rhinoplasty.
Regardless, I recommend you see someone experienced in both surgical and non-surgical rhinoplasty (e.g., board-certified Facial Plastic Surgeon, Plastic Surgeon) so that you receive an expert and non-biased opinion.
Good luck, and hope this helps.
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Blake Raggio, MD